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<div class="title">opennurbs_nurbssurface.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//              </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">//   Definition of NURBS surface</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#if !defined(OPENNURBS_NURBSSURFACE_INC_)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#define OPENNURBS_NURBSSURFACE_INC_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;pcl/pcl_exports.h&gt;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="class_o_n___tensor_product.html">   28</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___tensor_product.html">ON_TensorProduct</a></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;{</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="comment">// Pure virtual tensor passed to ON_NurbsSurface::TensorProduct()</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <a class="code" href="class_o_n___tensor_product.html">ON_TensorProduct</a>();</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  ~<a class="code" href="class_o_n___tensor_product.html">ON_TensorProduct</a>();</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  <span class="comment">// Evaluate() must define a function T:R^dimA X R^dimB -&gt; R^Dimension()</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  <span class="comment">// such that</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  <span class="comment">//          T(a*A0 + (1-a)*A1, B) = a*T(A0,B) + (1-a)*T(A1,B) and</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  <span class="comment">//          T(A, b*B0 + (1-b)*B1) = b*T(A,B0) + (1-b)*T(A,B1).</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keywordtype">int</span> DimensionA() <span class="keyword">const</span> = 0; <span class="comment">// dimension of A space</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160; </div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  <span class="keywordtype">int</span> DimensionB() <span class="keyword">const</span> = 0; <span class="comment">// dimension of B space</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160; </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keywordtype">int</span> DimensionC() <span class="keyword">const</span> = 0; <span class="comment">// dimension of range space</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160; </div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <span class="keywordtype">bool</span> Evaluate( <span class="keywordtype">double</span>,        <span class="comment">// a</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">double</span>*, <span class="comment">// A</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                 <span class="keywordtype">double</span>,        <span class="comment">// b</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">double</span>*, <span class="comment">// B</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                 <span class="keywordtype">double</span>*        <span class="comment">// C</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                ) = 0;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160; </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;};</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___brep.html">ON_Brep</a>;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="class_o_n___nurbs_surface.html">   64</a></span>&#160;<span class="keyword">class </span>PCL_EXPORTS ON_CLASS <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___surface.html">ON_Surface</a></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;{</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  ON_OBJECT_DECLARE(<a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>);</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="comment">    Use ON_NurbsSurface::New(...) instead of new ON_NurbsSurface(...)</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="comment">    Pointer to an ON_NurbsSurface.  Destroy by calling delete.</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="comment">    See static ON_Brep* ON_Brep::New() for details.</span></div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* New();</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* New(</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; nurbs_surface</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          );</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* New(</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; bezier_surface </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;            );</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* New(</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          <span class="keywordtype">int</span> dimension,</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          ON_BOOL32 bIsRational,</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keywordtype">int</span> cv_count1</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          );</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160; </div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>();</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>(<span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; nurbs_surface);</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>(<span class="keyword">const</span> <a class="code" href="class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; bezier_surface);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>(</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordtype">int</span> dimension,     <span class="comment">// dimension (&gt;= 1)</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          ON_BOOL32 bIsRational, <span class="comment">// true to make a rational NURBS</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          <span class="keywordtype">int</span> order0,       <span class="comment">// order0 (&gt;= 2)</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keywordtype">int</span> order1,       <span class="comment">// order1 (&gt;= 2)</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keywordtype">int</span> cv_count0,    <span class="comment">// cv count0 (&gt;= order0)</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          <span class="keywordtype">int</span> cv_count1     <span class="comment">// cv count1 (&gt;= order1)</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          );</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="comment">// virtual ON_Object::SizeOf override</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SizeOf() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160; </div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  <span class="comment">// virtual ON_Object::DataCRC override</span></div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  ON__UINT32 DataCRC(ON__UINT32 current_remainder) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="comment">    See if this and other are same NURBS geometry.</span></div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment">    other - [in] other NURBS surface</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment">    bIgnoreParameterization - [in] if true, parameterization</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="comment">             and orientaion are ignored.</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when comparing</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">                     control points.</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="comment">    true if curves are tne same.</span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  <span class="keywordtype">bool</span> IsDuplicate( </div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; other, </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          <span class="keywordtype">bool</span> bIgnoreParameterization,</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE </div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160; </div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="keywordtype">void</span> Initialize(<span class="keywordtype">void</span>);  <span class="comment">// zeros all fields</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  ON_BOOL32 Create( </div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          <span class="keywordtype">int</span> dim,  <span class="comment">// dimension (&gt;= 1)</span></div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          ON_BOOL32 is_rat, <span class="comment">// true to make a rational NURBS</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          <span class="keywordtype">int</span> order0,  <span class="comment">// order0 (&gt;= 2)</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          <span class="keywordtype">int</span> order1,  <span class="comment">// order1 (&gt;= 2)</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          <span class="keywordtype">int</span> cv_count0,  <span class="comment">// cv count0 (&gt;= order0)</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          <span class="keywordtype">int</span> cv_count1  <span class="comment">// cv count1 (&gt;= order1)</span></div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          );</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="comment">    Create a ruled surface from two curves.</span></div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="comment">    curveA - [in] (must have same NURBS form knots as curveB)</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="comment">    curveB - [in] (must have same NURBS form knots as curveA)</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="comment">    curveA_domain - [in] if not NULL, then this is a subdomain</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="comment">       of curveA to use for the ruled surface.</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="comment">    curveB_domain - [in] if not NULL, then this is a subdomain</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="comment">       of curveA to use for the ruled surface.</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="comment">    0      failure</span></div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="comment">    1      success - parameterization is exact</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="comment">    2      success - parameterization is not exact</span></div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;<span class="comment">    The ruling parameter is the second surface parameter and</span></div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="comment">    it is in the interval [0,1].</span></div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;<span class="comment">    The true ruled surface has parameterization </span></div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="comment">    srf(s,t) = (1.0-t)*curveA(s) + t*curveB(s).</span></div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="comment">    The returned NURBS surface has parameterization</span></div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="comment">    srf(s,t) = (1.0-t)*nurbs_curveA(s) + t*nurbs_curveB(s),</span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="comment">    where nurbs_curveX is the NURBS form of curveX.  If the</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="comment">    parameterization of nurbs_curveX does not match the </span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="comment">    parameterization of curveX, then 2 is returned.</span></div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="keywordtype">int</span> CreateRuledSurface(</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; curveA,</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; curveB,</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* curveA_domain = NULL,</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* curveB_domain = NULL</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;         );</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160; </div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment">    Create a cone surface from a curve to a point.</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="comment">    apex_point - [in]</span></div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="comment">    curve - [in]</span></div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="comment">    curve_domain - [in] if not NULL, then this is a subdomain</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="comment">       of curve to use for the ruled surface.</span></div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="comment">    0      failure</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="comment">    1      success - parameterization is exact</span></div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="comment">    2      success - parameterization is not exact</span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="comment">    The ruling parameter is the second surface parameter and</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="comment">    it is in the interval [0,1].</span></div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="comment">    The true cone surface has parameterization </span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="comment">    srf(s,t) = (1.0-t)*curve(s) + t*apex_point.</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;<span class="comment">    The returned NURBS surface has parameterization</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="comment">    srf(s,t) = (1.0-t)*nurbs_curve(s) + t*apex_point,</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="comment">    where nurbs_curve is the NURBS form of curve.  If the</span></div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="comment">    parameterization of nurbs_curve does not match the </span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="comment">    parameterization of curve, then 2 is returned.</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;  <span class="keywordtype">int</span> CreateConeSurface(</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> apex_point,</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; curve,</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* curve_domain = NULL</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;         );</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160; </div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="comment">    Collapse the side of a NURBS surface to a single point.</span></div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="comment">    side - [in] 0 = south west, </span></div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="comment">                1 = south east, </span></div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="comment">                2 = north east,</span></div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="comment">                3 = north west</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="comment">    point - [in] point to collapse to.  If point is ON_unset_point,</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="comment">                the the current location of the start of the side</span></div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;<span class="comment">                is used.</span></div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;<span class="comment">    True if successful.</span></div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="comment">    If the surface is rational, the weights of the side control</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="comment">    points must be set before calling CollapseSide.</span></div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;  <span class="keywordtype">bool</span> CollapseSide(</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;    <span class="keywordtype">int</span> side,</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> point = ON_unset_point</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    );</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160; </div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  <span class="keywordtype">void</span> Destroy();</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160; </div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="keyword">virtual</span> ~<a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>();</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160; </div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;  <span class="keywordtype">void</span> EmergencyDestroy(); <span class="comment">// call if memory used by this class becomes invalid</span></div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp;);</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  </div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="comment">    Set NURBS surface equal to bezier surface with domain [0,1]x[0,1].</span></div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="comment">    bezier_surface - [in]</span></div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; operator=(</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; bezier_surface</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    );</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160; </div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  <span class="comment">// ON_Object overrides</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160; </div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;<span class="comment">    Tests an object to see if its data members are correctly</span></div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;<span class="comment">    initialized.</span></div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;<span class="comment">    text_log - [in] if the object is not valid and text_log</span></div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;<span class="comment">        is not NULL, then a brief englis description of the</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<span class="comment">        reason the object is not valid is appened to the log.</span></div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="comment">        The information appended to text_log is suitable for </span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="comment">        low-level debugging purposes by programmers and is </span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="comment">        not intended to be useful as a high level user </span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="comment">        interface tool.</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="comment">    true     object is valid</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="comment">    false    object is invalid, uninitialized, etc.</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;<span class="comment">    Overrides virtual ON_Object::IsValid</span></div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  ON_BOOL32 IsValid( <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>* text_log = NULL ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160; </div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;  <span class="keywordtype">void</span> Dump( <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// for debugging</span></div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160; </div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  ON_BOOL32 Write(</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;         <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp;  <span class="comment">// open binary file</span></div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;       ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160; </div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;  ON_BOOL32 Read(</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;         <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp;  <span class="comment">// open binary file</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;       );</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160; </div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;  <span class="comment">// ON_Geometry overrides</span></div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160; </div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;  <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160; </div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;  ON_BOOL32 GetBBox( <span class="comment">// returns true if successful</span></div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;         <span class="keywordtype">double</span>*,    <span class="comment">// minimum</span></div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;         <span class="keywordtype">double</span>*,    <span class="comment">// maximum</span></div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;         ON_BOOL32 = <span class="keyword">false</span>  <span class="comment">// true means grow box</span></div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160; </div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  ON_BOOL32 Transform( </div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>&amp;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;         );</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160; </div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  <span class="comment">// virtual ON_Geometry::IsDeformable() override</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;  <span class="keywordtype">bool</span> IsDeformable() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160; </div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  <span class="comment">// virtual ON_Geometry::MakeDeformable() override</span></div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  <span class="keywordtype">bool</span> MakeDeformable();</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160; </div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  ON_BOOL32 SwapCoordinates(</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;        <span class="keywordtype">int</span>, <span class="keywordtype">int</span>        <span class="comment">// indices of coords to swap</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;        );</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160; </div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  <span class="comment">// ON_Surface overrides</span></div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160; </div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  ON_BOOL32 SetDomain( </div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;    <span class="keywordtype">int</span> dir, <span class="comment">// 0 sets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;    <span class="keywordtype">double</span> t0, </div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    <span class="keywordtype">double</span> t1</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;    );</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160; </div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a> Domain(</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160; </div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160; </div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;<span class="comment">    Get an estimate of the size of the rectangle that would</span></div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;<span class="comment">    be created if the 3d surface where flattened into a rectangle.</span></div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;<span class="comment">    width - [out]  (corresponds to the first surface parameter)</span></div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;<span class="comment">    height - [out] (corresponds to the first surface parameter)</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;<span class="comment">    overrides virtual ON_Surface::GetSurfaceSize</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  ON_BOOL32 GetSurfaceSize( </div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;      <span class="keywordtype">double</span>* width, </div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;      <span class="keywordtype">double</span>* height </div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160; </div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;  <span class="keywordtype">int</span> SpanCount(</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;    ) <span class="keyword">const</span>; <span class="comment">// number of smooth spans in curve</span></div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160; </div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  ON_BOOL32 GetSpanVector( <span class="comment">// span &quot;knots&quot; </span></div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    <span class="keywordtype">int</span>, <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    <span class="keywordtype">double</span>* <span class="comment">// array of length SpanCount() + 1 </span></div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;    ) <span class="keyword">const</span>; <span class="comment">// </span></div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160; </div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;  <span class="keywordtype">int</span> Degree( <span class="comment">// returns maximum algebraic degree of any span </span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;                  <span class="comment">// ( or a good estimate if curve spans are not algebraic )</span></div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// 0 gets first parameter&#39;s domain, 1 gets second parameter&#39;s domain</span></div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;    ) <span class="keyword">const</span>; </div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160; </div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  ON_BOOL32 GetParameterTolerance( <span class="comment">// returns tminus &lt; tplus: parameters tminus &lt;= s &lt;= tplus</span></div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;         <span class="keywordtype">int</span>,     <span class="comment">// 0 gets first parameter, 1 gets second parameter</span></div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;         <span class="keywordtype">double</span>,  <span class="comment">// t = parameter in domain</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;         <span class="keywordtype">double</span>*, <span class="comment">// tminus</span></div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;         <span class="keywordtype">double</span>*  <span class="comment">// tplus</span></div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160; </div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="comment">    Test a surface to see if it is planar.</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;<span class="comment">    plane - [out] if not NULL and true is returned,</span></div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;<span class="comment">                  the plane parameters are filled in.</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when checking</span></div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;<span class="comment">    true if there is a plane such that the maximum distance from</span></div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;<span class="comment">    the surface to the plane is &lt;= tolerance.</span></div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;<span class="comment">    Overrides virtual ON_Surface::IsPlanar.</span></div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;  ON_BOOL32 IsPlanar(</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;        <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160; </div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;  ON_BOOL32 IsClosed(   <span class="comment">// true if NURBS surface is closed (either surface has</span></div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;        <span class="keywordtype">int</span> <span class="comment">// dir // clamped end knots and euclidean location of start</span></div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;        ) <span class="keyword">const</span>;   <span class="comment">// CV = euclidean location of end CV, or surface is</span></div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;                   <span class="comment">// periodic.)</span></div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160; </div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;  ON_BOOL32 IsPeriodic( <span class="comment">// true if NURBS surface is periodic (degree &gt; 1,</span></div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;        <span class="keywordtype">int</span> <span class="comment">// dir // periodic knot vector, last degree many CVs </span></div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;        ) <span class="keyword">const</span>;   <span class="comment">// are duplicates of first degree many CVs.)</span></div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;  </div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;  ON_BOOL32 IsSingular( <span class="comment">// true if surface side is collapsed to a point</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        <span class="keywordtype">int</span>        <span class="comment">// side of parameter space to test</span></div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;                   <span class="comment">// 0 = south, 1 = east, 2 = north, 3 = west</span></div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160; </div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;<span class="comment">    Search for a derivatitive, tangent, or curvature </span></div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;<span class="comment">    discontinuity.</span></div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;<span class="comment">    dir - [in] If 0, then &quot;u&quot; parameter is checked.  If 1, then</span></div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;<span class="comment">               the &quot;v&quot; parameter is checked.</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;<span class="comment">    c - [in] type of continity to test for.</span></div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;<span class="comment">    t0 - [in] Search begins at t0. If there is a discontinuity</span></div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;<span class="comment">              at t0, it will be ignored.  This makes it </span></div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;<span class="comment">              possible to repeatedly call GetNextDiscontinuity</span></div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;<span class="comment">              and step through the discontinuities.</span></div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="comment">    t1 - [in] (t0 != t1)  If there is a discontinuity at t1 is </span></div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;<span class="comment">              will be ingored unless c is a locus discontinuity</span></div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;<span class="comment">              type and t1 is at the start or end of the curve.</span></div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;<span class="comment">    t - [out] if a discontinuity is found, then *t reports the</span></div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;<span class="comment">          parameter at the discontinuity.</span></div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="comment">    hint - [in/out] if GetNextDiscontinuity will be called </span></div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="comment">       repeatedly, passing a &quot;hint&quot; with initial value *hint=0</span></div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;<span class="comment">       will increase the speed of the search.       </span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="comment">    dtype - [out] if not NULL, *dtype reports the kind of </span></div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;<span class="comment">        discontinuity found at *t.  A value of 1 means the first </span></div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;<span class="comment">        derivative or unit tangent was discontinuous.  A value </span></div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;<span class="comment">        of 2 means the second derivative or curvature was </span></div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;<span class="comment">        discontinuous.  A value of 0 means teh curve is not</span></div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;<span class="comment">        closed, a locus discontinuity test was applied, and</span></div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;<span class="comment">        t1 is at the start of end of the curve.</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;<span class="comment">        when c is ON::G1_continuous or ON::G2_continuous.  If the</span></div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;<span class="comment">        cosine of the angle between two tangent vectors is </span></div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;<span class="comment">        &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used </span></div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;<span class="comment">        only when c is ON::G2_continuous.  If K0 and K1 are </span></div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;<span class="comment">        curvatures evaluated from above and below and </span></div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;<span class="comment">        |K0 - K1| &gt; curvature_tolerance, then a curvature </span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;<span class="comment">        discontinuity is reported.</span></div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;<span class="comment">    Parametric continuity tests c = (C0_continuous, ..., G2_continuous):</span></div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;<span class="comment">      true if a parametric discontinuity was found strictly </span></div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="comment">      between t0 and t1. Note well that all curves are </span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;<span class="comment">      parametrically continuous at the ends of their domains.</span></div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;<span class="comment">    Locus continuity tests c = (C0_locus_continuous, ...,G2_locus_continuous):</span></div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;<span class="comment">      true if a locus discontinuity was found strictly between</span></div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;<span class="comment">      t0 and t1 or at t1 is the at the end of a curve.</span></div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;<span class="comment">      Note well that all open curves (IsClosed()=false) are locus</span></div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;<span class="comment">      discontinuous at the ends of their domains.  All closed </span></div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;<span class="comment">      curves (IsClosed()=true) are at least C0_locus_continuous at </span></div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;<span class="comment">      the ends of their domains.</span></div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;  <span class="keywordtype">bool</span> GetNextDiscontinuity( </div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;                  <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;                  ON::continuity c,</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;                  <span class="keywordtype">double</span> t0,</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;                  <span class="keywordtype">double</span> t1,</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;                  <span class="keywordtype">double</span>* t,</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;                  <span class="keywordtype">int</span>* hint=NULL,</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;                  <span class="keywordtype">int</span>* dtype=NULL,</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;                  <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;                  <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;                  ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160; </div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;<span class="comment">    Test continuity at a surface parameter value.</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment">    c - [in] continuity to test for</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;<span class="comment">    s - [in] surface parameter to test</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="comment">    t - [in] surface parameter to test</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;<span class="comment">    hint - [in] evaluation hint</span></div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;<span class="comment">    point_tolerance - [in] if the distance between two points is</span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;<span class="comment">        greater than point_tolerance, then the surface is not C0.</span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;<span class="comment">    d1_tolerance - [in] if the difference between two first derivatives is</span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;<span class="comment">        greater than d1_tolerance, then the surface is not C1.</span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="comment">    d2_tolerance - [in] if the difference between two second derivatives is</span></div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;<span class="comment">        greater than d2_tolerance, then the surface is not C2.</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;<span class="comment">        c is ON::G1_continuous or ON::G2_continuous.  If the cosine</span></div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;<span class="comment">        of the angle between two normal vectors </span></div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;<span class="comment">        is &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;<span class="comment">        c is ON::G2_continuous.  If K0 and K1 are curvatures evaluated</span></div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;<span class="comment">        from above and below and |K0 - K1| &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="comment">        then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;<span class="comment">    true if the surface has at least the c type continuity at the parameter t.</span></div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;<span class="comment">    Overrides virtual ON_Surface::IsContinuous</span></div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;  <span class="keywordtype">bool</span> IsContinuous(</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;    ON::continuity c,</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;    <span class="keywordtype">double</span> s, </div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;    <span class="keywordtype">double</span> t, </div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;    <span class="keywordtype">int</span>* hint = NULL,</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;    <span class="keywordtype">double</span> point_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;    <span class="keywordtype">double</span> d1_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;    <span class="keywordtype">double</span> d2_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160; </div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;  ON_BOOL32 Reverse(  <span class="comment">// reverse parameterizatrion, Domain changes from [a,b] to [-b,-a]</span></div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// dir  0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;    );</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160; </div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;  ON_BOOL32 Transpose(); <span class="comment">// transpose surface parameterization (swap &quot;s&quot; and &quot;t&quot;)</span></div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160; </div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;  ON_BOOL32 Evaluate( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;         <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// evaluation parameter</span></div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;         <span class="keywordtype">int</span>,            <span class="comment">// number of derivatives (&gt;=0)</span></div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;         <span class="keywordtype">int</span>,            <span class="comment">// array stride (&gt;=Dimension())</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;         <span class="keywordtype">double</span>*,        <span class="comment">// array of length stride*(ndir+1)*(ndir+2)/2</span></div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;         <span class="keywordtype">int</span> = 0,        <span class="comment">// optional - determines which quadrant to evaluate from</span></div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;                         <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;                         <span class="comment">//         1 from NE quadrant</span></div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;                         <span class="comment">//         2 from NW quadrant</span></div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;                         <span class="comment">//         3 from SW quadrant</span></div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;                         <span class="comment">//         4 from SE quadrant</span></div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;         <span class="keywordtype">int</span>* = 0        <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;                         <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160; </div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;<span class="comment">    Get isoparametric curve.</span></div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;<span class="comment">    Overrides virtual ON_Surface::IsoCurve.</span></div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;<span class="comment">    dir - [in] 0 first parameter varies and second parameter is constant</span></div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;<span class="comment">                 e.g., point on IsoCurve(0,c) at t is srf(t,c)</span></div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;<span class="comment">               1 first parameter is constant and second parameter varies</span></div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;<span class="comment">                 e.g., point on IsoCurve(1,c) at t is srf(c,t)</span></div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;<span class="comment">    c - [in] value of constant parameter </span></div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;<span class="comment">    Isoparametric curve.</span></div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;  <a class="code" href="class_o_n___curve.html">ON_Curve</a>* IsoCurve(</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;         <span class="keywordtype">double</span> c</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160; </div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;<span class="comment">    Removes the portions of the surface outside of the specified interval.</span></div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;<span class="comment">    Overrides virtual ON_Surface::Trim.</span></div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;<span class="comment">    dir - [in] 0  The domain specifies an sub-interval of Domain(0)</span></div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;<span class="comment">                  (the first surface parameter).</span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;<span class="comment">               1  The domain specifies an sub-interval of Domain(1)</span></div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;<span class="comment">                  (the second surface parameter).</span></div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;<span class="comment">    domain - [in] interval of the surface to keep. If dir is 0, then</span></div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;<span class="comment">        the portions of the surface with parameters (s,t) satisfying</span></div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;<span class="comment">        s &lt; Domain(0).Min() or s &gt; Domain(0).Max() are trimmed away.</span></div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;<span class="comment">        If dir is 1, then the portions of the surface with parameters</span></div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;<span class="comment">        (s,t) satisfying t &lt; Domain(1).Min() or t &gt; Domain(1).Max() </span></div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;<span class="comment">        are trimmed away.</span></div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;  ON_BOOL32 Trim(</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;         );</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160; </div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;<span class="comment">   Description:</span></div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;<span class="comment">     Where possible, analytically extends surface to include domain.</span></div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;<span class="comment">   Parameters:</span></div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;<span class="comment">     dir - [in] 0  new Domain(0) will include domain.</span></div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;<span class="comment">                   (the first surface parameter).</span></div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;<span class="comment">                1  new Domain(1) will include domain.</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;<span class="comment">                   (the second surface parameter).</span></div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;<span class="comment">     domain - [in] if domain is not included in surface domain, </span></div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;<span class="comment">     surface will be extended so that its domain includes domain.  </span></div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;<span class="comment">     Will not work if surface is closed in direction dir. </span></div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;<span class="comment">     Original surface is identical to the restriction of the</span></div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;<span class="comment">     resulting surface to the original surface domain, </span></div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;<span class="comment">   Returns:</span></div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;<span class="comment">     true if successful.</span></div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;  <span class="keywordtype">bool</span> Extend(</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;    <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;    );</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160; </div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160; </div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;<span class="comment">    Splits (divides) the surface into two parts at the </span></div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;<span class="comment">    specified parameter.</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;<span class="comment">    Overrides virtual ON_Surface::Split.</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;<span class="comment">    dir - [in] 0  The surface is split vertically.  The &quot;west&quot; side</span></div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;<span class="comment">                  is returned in &quot;west_or_south_side&quot; and the &quot;east&quot;</span></div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;<span class="comment">                  side is returned in &quot;east_or_north_side&quot;.</span></div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;<span class="comment">               1  The surface is split horizontally.  The &quot;south&quot; side</span></div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;<span class="comment">                  is returned in &quot;west_or_south_side&quot; and the &quot;north&quot;</span></div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;<span class="comment">                  side is returned in &quot;east_or_north_side&quot;.</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;<span class="comment">    c - [in] value of constant parameter in interval returned</span></div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;<span class="comment">               by Domain(dir)</span></div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;<span class="comment">    west_or_south_side - [out] west/south portion of surface returned here</span></div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;<span class="comment">    east_or_north_side - [out] east/north portion of surface returned here</span></div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="comment">  Example:</span></div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;<span class="comment">          ON_NurbsSurface srf = ...;</span></div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;<span class="comment">          int dir = 1;</span></div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="comment">          ON_NurbsSurface* south_side = 0;</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;<span class="comment">          ON_NurbsSurface* north_side = 0;</span></div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;<span class="comment">          srf.Split( dir, srf.Domain(dir).Mid() south_side, north_side );</span></div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;  ON_BOOL32 Split(</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;         <span class="keywordtype">double</span> c,</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;         <a class="code" href="class_o_n___surface.html">ON_Surface</a>*&amp; west_or_south_side,</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;         <a class="code" href="class_o_n___surface.html">ON_Surface</a>*&amp; east_or_north_side</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160; </div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;<span class="comment">    Offset surface.</span></div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;<span class="comment">    offset_distance - [in] offset distance</span></div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;<span class="comment">    tolerance - [in] Some surfaces do not have an exact offset that</span></div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;<span class="comment">      can be represented using the same class of surface definition.</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;<span class="comment">      In that case, the tolerance specifies the desired accuracy.</span></div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;<span class="comment">    max_deviation - [out] If this parameter is not NULL, the maximum</span></div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;<span class="comment">      deviation from the returned offset to the true offset is returned</span></div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;<span class="comment">      here.  This deviation is zero except for cases where an exact</span></div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;<span class="comment">      offset cannot be computed using the same class of surface definition.</span></div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;<span class="comment">    Offset surface.</span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;  <a class="code" href="class_o_n___surface.html">ON_Surface</a>* Offset(</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;        <span class="keywordtype">double</span> offset_distance, </div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;        <span class="keywordtype">double</span> tolerance, </div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;        <span class="keywordtype">double</span>* max_deviation = NULL</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160; </div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;  <span class="keywordtype">int</span> GetNurbForm( <span class="comment">// returns 0: unable to create NURBS representation</span></div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;                   <span class="comment">//            with desired accuracy.</span></div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;                   <span class="comment">//         1: success - returned NURBS parameterization</span></div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;                   <span class="comment">//            matches the surface&#39;s to wthe desired accuracy</span></div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;                   <span class="comment">//         2: success - returned NURBS point locus matches</span></div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;                   <span class="comment">//            the surfaces&#39;s to the desired accuracy but, on</span></div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;                   <span class="comment">//            the interior of the surface&#39;s domain, the </span></div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;                   <span class="comment">//            surface&#39;s parameterization and the NURBS</span></div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;                   <span class="comment">//            parameterization may not match to the </span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;                   <span class="comment">//            desired accuracy.</span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;        <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp;,</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;        <span class="keywordtype">double</span> = 0.0 <span class="comment">// tolerance</span></div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160; </div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;  <span class="comment">// Interface</span></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160; </div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;<span class="comment">    Get the maximum length of a nurb surface&#39;s control polygon</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;<span class="comment">    rows and/or columns</span></div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;<span class="comment">    dir - [in] 0 to get &quot;u&quot; direction length, 1 to get &quot;v&quot; </span></div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;<span class="comment">               direction length</span></div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;<span class="comment">    length - [out] maximum length of a polygon &quot;row&quot; in the </span></div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;<span class="comment">                   specified direction</span></div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;  <span class="keywordtype">double</span> ControlPolygonLength( <span class="keywordtype">int</span> dir ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160; </div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160; </div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;  <span class="keywordtype">bool</span> IsRational(  <span class="comment">// true if NURBS surface is rational</span></div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;        <span class="keywordtype">void</span></div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;  </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;  <span class="keywordtype">int</span> CVSize(       <span class="comment">// number of doubles per control vertex </span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;        <span class="keywordtype">void</span>        <span class="comment">// = IsRational() ? Dim()+1 : Dim()</span></div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;  </div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;  <span class="keywordtype">int</span> Order(        <span class="comment">// order = degree + 1</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;        <span class="keywordtype">int</span>         <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;    </div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;  <span class="keywordtype">int</span> CVCount(      <span class="comment">// number of control vertices</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;        <span class="keywordtype">int</span>         <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160; </div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;  <span class="keywordtype">int</span> CVCount(      <span class="comment">// total number of control vertices</span></div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;        <span class="keywordtype">void</span></div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160; </div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;  <span class="keywordtype">int</span> KnotCount(    <span class="comment">// total number of knots in knot vector</span></div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;        <span class="keywordtype">int</span> dir         <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;  </div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;<span class="comment">    Expert user function to get a pointer to control vertex</span></div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;<span class="comment">    memory.  If you are not an expert user, please use</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;<span class="comment">    ON_NurbsSurface::GetCV( ON_3dPoint&amp; ) or </span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;<span class="comment">    ON_NurbsSurface::GetCV( ON_4dPoint&amp; ).</span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;<span class="comment">    i - [in] (0 &lt;= i &lt; m_cv_count[0])</span></div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;<span class="comment">    j - [in] (0 &lt;= j &lt; m_cv_count[1])</span></div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;<span class="comment">    Pointer to control vertex.</span></div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;<span class="comment">    If the NURBS surface is rational, the format of the </span></div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;<span class="comment">    returned array is a homogeneos rational point with</span></div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;<span class="comment">    length m_dim+1.  If the NURBS surface is not rational, </span></div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;<span class="comment">    the format of the returned array is a nonrational </span></div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;<span class="comment">    euclidean point with length m_dim.</span></div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;<span class="comment">  See Also</span></div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;<span class="comment">    ON_NurbsSurface::CVStyle</span></div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;<span class="comment">    ON_NurbsSurface::GetCV</span></div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;<span class="comment">    ON_NurbsSurface::Weight</span></div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  <span class="keywordtype">double</span>* CV(</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;        <span class="keywordtype">int</span> j</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160; </div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;<span class="comment">    Returns the style of control vertices in the m_cv array.</span></div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;<span class="comment">    ON::not_rational                m_is_rat is false</span></div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;<span class="comment">    ON::homogeneous_rational        m_is_rat is true</span></div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;  ON::point_style CVStyle() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160; </div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;  <span class="keywordtype">double</span> Weight(        <span class="comment">// get value of control vertex weight</span></div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160; </div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;  ON_BOOL32 SetWeight(      <span class="comment">// get value of control vertex weight</span></div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;        <span class="keywordtype">double</span> weight</div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;        );</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160; </div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;  ON_BOOL32 SetCV(              <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;        ON::point_style, <span class="comment">// style of input point</span></div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span>* cv    <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;        );</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160; </div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;  ON_BOOL32 SetCV(               <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; cv<span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;                           <span class="comment">// If NURBS is rational, weight</span></div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;                           <span class="comment">// will be set to 1.</span></div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;        );</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160; </div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;  ON_BOOL32 SetCV(              <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n__4d_point.html">ON_4dPoint</a>&amp; cv<span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;        );</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160; </div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;  ON_BOOL32 SetCVRow(          <span class="comment">// Sets CV( *, row_index ) </span></div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;       <span class="keywordtype">int</span> row_index,               <span class="comment">// row_index &gt;= 0 and &lt; m_cv_count[1]</span></div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;       <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; cv <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;                          <span class="comment">// If NURBS is rational, weight</span></div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;                          <span class="comment">// will be set to 1.</span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;       );</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160; </div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;  ON_BOOL32 SetCVRow(          <span class="comment">// Sets CV( *, row_index ) </span></div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;       <span class="keywordtype">int</span> row_index,               <span class="comment">// row_index &gt;= 0 and &lt; m_cv_count[1]</span></div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;       <span class="keywordtype">int</span> v_stride,               <span class="comment">// v stride</span></div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;       <span class="keyword">const</span> <span class="keywordtype">double</span>* v     <span class="comment">// v[] = values (same dim and is_rat as surface)</span></div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;       );</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160; </div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;  ON_BOOL32 SetCVColumn(       <span class="comment">// Sets CV( col_index, * ) </span></div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;       <span class="keywordtype">int</span> col_index,               <span class="comment">// col_index &gt;= 0 and &lt; m_cv_count[0]</span></div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;       <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; cv <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;                          <span class="comment">// If NURBS is rational, weight</span></div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;                          <span class="comment">// will be set to 1.</span></div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;       );</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160; </div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;  ON_BOOL32 SetCVColumn(       <span class="comment">// Sets CV( col_index, * ) </span></div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;       <span class="keywordtype">int</span> col_index,               <span class="comment">// col_index &gt;= 0 and &lt; m_cv_count[0]</span></div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;       <span class="keywordtype">int</span> v_stride,               <span class="comment">// v stride</span></div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;       <span class="keyword">const</span> <span class="keywordtype">double</span>* v     <span class="comment">// v[] = values (same dim and is_rat as surface)</span></div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;       );</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160; </div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;  ON_BOOL32 GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;        ON::point_style, <span class="comment">// style to use for output point</span></div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;        <span class="keywordtype">double</span>* cv          <span class="comment">// array of length &gt;= CVSize()</span></div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160; </div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;  ON_BOOL32 GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;        <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; cv     <span class="comment">// gets euclidean cv when NURBS is rational</span></div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160; </div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;  ON_BOOL32 GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;        <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,   <span class="comment">// CV index ( 0 &lt;= i &lt;= CVCount(0), 0 &lt;= j &lt;= CVCount(1)</span></div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;        <a class="code" href="class_o_n__4d_point.html">ON_4dPoint</a>&amp; cv     <span class="comment">// gets homogeneous cv</span></div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160; </div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;  <span class="keywordtype">int</span> SetKnot(</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;        <span class="keywordtype">int</span> dir,    <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;        <span class="keywordtype">int</span> knot_index,            <span class="comment">// knot index ( 0 to KnotCount - 1 )</span></div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;        <span class="keywordtype">double</span> knot_value         <span class="comment">// value for knot</span></div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;        );</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160; </div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;  <span class="keywordtype">double</span> Knot(</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;        <span class="keywordtype">int</span> dir,    <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;        <span class="keywordtype">int</span> knot_index  <span class="comment">// knot index ( &gt;= 0 and &lt; Order + CV_count - 2 )</span></div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160; </div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;  <span class="keywordtype">int</span> KnotMultiplicity(</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;        <span class="keywordtype">int</span> dir,    <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;        <span class="keywordtype">int</span> knot_index            <span class="comment">// knot index ( &gt;= 0 and &lt; Order + CV_count - 2 )</span></div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160; </div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span>* Knot(   <span class="comment">// knot[] array</span></div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;        <span class="keywordtype">int</span> dir    <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160; </div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;  <span class="comment">//   Make knot vector a clamped uniform knot vector</span></div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;  <span class="comment">//   based on the current values of m_order and m_cv_count.</span></div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;  <span class="comment">//   Does not change values of control vertices.</span></div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;  <span class="comment">//   dir - [in] 0 = u knots, 1 = v knots</span></div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;  <span class="comment">//   delta - [in] (&gt;0.0) knot spacing.</span></div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;  <span class="comment">//   Allocates m_knot[] if it is not big enough.</span></div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;  <span class="comment">//   ON_MakeClampedUniformKnotVector</span></div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;  <span class="keywordtype">bool</span> MakeClampedUniformKnotVector( </div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;    <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;    <span class="keywordtype">double</span> delta = 1.0 </div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;    );</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160; </div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;  <span class="comment">//   Make knot vector a periodic uniform knot vector</span></div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;  <span class="comment">//   based on the current values of m_order and m_cv_count.</span></div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;  <span class="comment">//   Does not change values of control vertices.</span></div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;  <span class="comment">//   dir - [in] 0 = u knots, 1 = v knots</span></div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;  <span class="comment">//   delta - [in] (&gt;0.0) knot spacing.</span></div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;  <span class="comment">//   Allocates m_knot[] if it is not big enough.</span></div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;  <span class="comment">//   ON_MakePeriodicUniformKnotVector</span></div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;  <span class="keywordtype">bool</span> MakePeriodicUniformKnotVector( </div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;    <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;    <span class="keywordtype">double</span> delta = 1.0 </div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;    );</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160; </div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160; </div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;  <span class="keywordtype">bool</span> IsClamped( <span class="comment">// determine if knot vector is clamped</span></div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;        <span class="keywordtype">int</span> dir,    <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;        <span class="keywordtype">int</span> end = 2 <span class="comment">// end to check: 0 = start, 1 = end, 2 = start and end</span></div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;  </div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;  <span class="keywordtype">double</span> SuperfluousKnot(</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;           <span class="keywordtype">int</span> dir,    <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;           <span class="keywordtype">int</span> end  <span class="comment">// 0 = start, 1 = end</span></div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;           ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160; </div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;  <span class="keywordtype">double</span> GrevilleAbcissa(</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;           <span class="keywordtype">int</span> dir,  <span class="comment">// dir</span></div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;           <span class="keywordtype">int</span> cv_index  <span class="comment">// index (0 &lt;= index &lt; CVCount(dir)</span></div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;           ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160; </div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;  <span class="keywordtype">bool</span> GetGrevilleAbcissae( <span class="comment">// see ON_GetGrevilleAbcissa() for details</span></div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;           <span class="keywordtype">int</span> dir,      <span class="comment">// dir</span></div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;           <span class="keywordtype">double</span>* g   <span class="comment">// g[cv count]</span></div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;           ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160; </div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;  <span class="keywordtype">bool</span> SetClampedGrevilleKnotVector(</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;           <span class="keywordtype">int</span> dir,          <span class="comment">// dir</span></div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;           <span class="keywordtype">int</span> g_stride,          <span class="comment">// g_stride</span></div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;           <span class="keyword">const</span> <span class="keywordtype">double</span>* g <span class="comment">// g[], CVCount(dir) many Greville abcissa</span></div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;           );</div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160; </div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;  <span class="keywordtype">bool</span> SetPeriodicGrevilleKnotVector(</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;           <span class="keywordtype">int</span> dir,          <span class="comment">// dir</span></div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;           <span class="keywordtype">int</span> g_stride,          <span class="comment">// g_stride</span></div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;           <span class="keyword">const</span> <span class="keywordtype">double</span>* g <span class="comment">// g[], Greville abcissa</span></div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;           );</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160; </div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;  <span class="keywordtype">bool</span> ZeroCVs(); <span class="comment">// zeros all CVs (any weights set to 1);</span></div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160; </div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;  <span class="keywordtype">bool</span> ClampEnd(</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;            <span class="keywordtype">int</span> dir,         <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;            <span class="keywordtype">int</span> end <span class="comment">// 0 = clamp start, 1 = clamp end, 2 = clamp start and end</span></div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;            );</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160; </div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;  <span class="keywordtype">bool</span> InsertKnot(</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;           <span class="keywordtype">int</span> dir,         <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;           <span class="keywordtype">double</span> knot_value, <span class="comment">// value of knot</span></div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;           <span class="keywordtype">int</span> knot_multiplicity=1   <span class="comment">// multiplicity of knot ( &gt;= 1 and &lt;= degree )</span></div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;           );</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160; </div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;  <span class="keywordtype">bool</span> MakeRational();</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160; </div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;  <span class="keywordtype">bool</span> MakeNonRational();</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160; </div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;  <span class="keywordtype">bool</span> IncreaseDegree(</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;           <span class="keywordtype">int</span> dir,  <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;           <span class="keywordtype">int</span> desired_degree  <span class="comment">//  desired_degree</span></div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;           );</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160; </div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;  <span class="keywordtype">bool</span> ChangeDimension(</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;           <span class="keywordtype">int</span> desired_dimension  <span class="comment">//  desired_dimension</span></div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;           );</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160; </div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;<span class="comment">    If the surface is closed in direction dir, then modify it so that</span></div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;<span class="comment">    the seam is at parameter t in the dir direction.</span></div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;<span class="comment">        dir - [in] must be 0 or 1</span></div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;<span class="comment">    t -     [in] dir parameter of seam, must have Domain(dir).Includes(t).</span></div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;<span class="comment">               The resulting surface domain in the dir direction will start at t.</span></div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;  ON_BOOL32 ChangeSurfaceSeam( </div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;                        <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;            <span class="keywordtype">double</span> t </div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;            );</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160; </div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160; </div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;  <span class="comment">// Creates a tensor product nurbs surface with srf(s,t) = T(A(s),B(t));</span></div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;  ON_BOOL32 TensorProduct(</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp;, <span class="comment">// A</span></div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp;, <span class="comment">// B</span></div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;        <a class="code" href="class_o_n___tensor_product.html">ON_TensorProduct</a>&amp;     <span class="comment">// T</span></div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;        );</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160; </div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;  <span class="comment">// Tools for managing CV and knot memory</span></div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;  ON_BOOL32 ReserveKnotCapacity( <span class="comment">// returns false if allocation fails</span></div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;                    <span class="comment">// does not change m_order or m_cv_count</span></div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;    <span class="keywordtype">int</span> dir, <span class="comment">// dir 0 = &quot;s&quot;, 1 = &quot;t&quot;</span></div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;    <span class="keywordtype">int</span> knot_array_capacity <span class="comment">// minimum capacity of m_knot[] array</span></div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;    );</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;  ON_BOOL32 ReserveCVCapacity(  <span class="comment">// returns false if allocation fails</span></div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;                    <span class="comment">// does not change m_order or m_cv_count</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;    <span class="keywordtype">int</span> cv_array_capacity <span class="comment">// minimum capacity of m_cv[] array</span></div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;    );</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160; </div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;<span class="comment">    Convert a NURBS surface bispan into a bezier surface.</span></div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;<span class="comment">    span_index0 - [in] Specifies the &quot;u&quot; span and must satisfy</span></div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;<span class="comment">         0 &lt;= span_index0 &lt;= m_cv_count[0]-m_order[0]</span></div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;<span class="comment">         m_knot[0][span_index0+m_order[0]-2] &lt; m_knot[0][span_index0+m_order[0]-1]</span></div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;<span class="comment">    span_index1 - [in] Specifies the &quot;v&quot; span and must satisfy</span></div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;<span class="comment">         0 &lt;= span_index1 &lt;= m_cv_count[1]-m_order[1]</span></div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;<span class="comment">         m_knot[1][span_index1+m_order[1]-2] &lt; m_knot[1][span_index1+m_order[1]-1]</span></div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;<span class="comment">    bezier_surface - [out] bezier surface returned here</span></div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;<span class="comment">    true if successful</span></div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;<span class="comment">    false if input is not valid</span></div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;  ON_BOOL32 ConvertSpanToBezier(</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;      <span class="keywordtype">int</span> span_index0,</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;      <span class="keywordtype">int</span> span_index1, </div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;      <a class="code" href="class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; bezier_surface</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160; </div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;  <span class="comment">// Implementation</span></div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;  <span class="comment">// NOTE: These members are left &quot;public&quot; so that expert users may efficiently</span></div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;  <span class="comment">//       create NURBS curves using the default constructor and borrow the</span></div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;  <span class="comment">//       knot and CV arrays from their native NURBS representation.</span></div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;  <span class="comment">//       No technical support will be provided for users who access these</span></div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;  <span class="comment">//       members directly.  If you can&#39;t get your stuff to work, then use</span></div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;  <span class="comment">//       the constructor with the arguments and the SetKnot() and SetCV()</span></div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;  <span class="comment">//       functions to fill in the arrays.</span></div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160; </div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;  <span class="keywordtype">int</span>     m_dim;            <span class="comment">// (&gt;=1)</span></div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160; </div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;  <span class="keywordtype">int</span>     m_is_rat;         <span class="comment">// 1 for rational B-splines. (Control vertices</span></div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;                            <span class="comment">// use homogeneous form.)</span></div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;                            <span class="comment">// 0 for non-rational B-splines. (Control</span></div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;                            <span class="comment">// verticies do not have a weight coordinate.)</span></div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160; </div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;  <span class="keywordtype">int</span>     m_order[2];       <span class="comment">// order = degree+1 (&gt;=2)</span></div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160; </div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;  <span class="keywordtype">int</span>     m_cv_count[2];    <span class="comment">// number of control vertices ( &gt;= order )</span></div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160; </div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;  <span class="comment">// knot vector memory</span></div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160; </div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;  <span class="keywordtype">int</span>     m_knot_capacity[2]; <span class="comment">// If m_knot_capacity &gt; 0, then m_knot[]</span></div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;                              <span class="comment">// is an array of at least m_knot_capacity</span></div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;                              <span class="comment">// doubles whose memory is managed by the</span></div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;                              <span class="comment">// ON_NurbsSurface class using rhmalloc(),</span></div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;                              <span class="comment">// onrealloc(), and rhfree().</span></div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;                              <span class="comment">// If m_knot_capacity is 0 and m_knot is</span></div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;                              <span class="comment">// not NULL, then  m_knot[] is assumed to</span></div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;                              <span class="comment">// be big enough for any requested operation</span></div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;                              <span class="comment">// and m_knot[] is not deleted by the</span></div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;                              <span class="comment">// destructor.</span></div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160; </div>
<div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;  <span class="keywordtype">double</span>* m_knot[2];        <span class="comment">// Knot vector. ( The knot vector has length</span></div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;                            <span class="comment">// m_order+m_cv_count-2. )</span></div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;  </div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;  <span class="comment">// control vertex net memory</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160; </div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;  <span class="keywordtype">int</span>     m_cv_stride[2];   <span class="comment">// The pointer to start of &quot;CV[i]&quot; is</span></div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;                            <span class="comment">//   m_cv + i*m_cv_stride.</span></div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160; </div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;  <span class="keywordtype">int</span>     m_cv_capacity;    <span class="comment">// If m_cv_capacity &gt; 0, then m_cv[] is an array</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;                            <span class="comment">// of at least m_cv_capacity doubles whose</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;                            <span class="comment">// memory is managed by the ON_NurbsSurface</span></div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;                            <span class="comment">// class using rhmalloc(), onrealloc(), and rhfree().</span></div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;                            <span class="comment">// If m_cv_capacity is 0 and m_cv is not</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;                            <span class="comment">// NULL, then m_cv[] is assumed to be big enough</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;                            <span class="comment">// for any requested operation and m_cv[] is not</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;                            <span class="comment">// deleted by the destructor.</span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160; </div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;  <span class="keywordtype">double</span>* m_cv;             <span class="comment">// Control points.</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;                            <span class="comment">// If m_is_rat is false, then control point is</span></div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;                            <span class="comment">//          ( CV(i)[0], ..., CV(i)[m_dim-1] ).</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;                            <span class="comment">// If m_is_rat is true, then the control point</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;                            <span class="comment">// is stored in HOMOGENEOUS form and is</span></div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;                            <span class="comment">//         [ CV(i)[0], ..., CV(i)[m_dim] ].</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;                            <span class="comment">// </span></div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;};</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160; </div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; </div>
<div class="line"><a name="l01028"></a><span class="lineno"><a class="line" href="class_o_n___nurbs_cage.html"> 1028</a></span>&#160;<span class="keyword">class </span>PCL_EXPORTS ON_CLASS <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___geometry.html">ON_Geometry</a></div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;{</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;  ON_OBJECT_DECLARE(<a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>);</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160; </div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>();</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; </div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>(</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;    <span class="keywordtype">int</span> dim,</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;    <span class="keywordtype">bool</span> is_rat,</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;    <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;    <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;    <span class="keywordtype">int</span> order2,</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;    <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;    <span class="keywordtype">int</span> cv_count1,</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;    <span class="keywordtype">int</span> cv_count2</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;    );</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160; </div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>( </div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;    <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;    <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;    <span class="keywordtype">int</span> order2,</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;    <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;    <span class="keywordtype">int</span> cv_count1,</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;    <span class="keywordtype">int</span> cv_count2</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;    );</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160; </div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>( </div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>* box_corners, <span class="comment">// array of 8 3d points</span></div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;    <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;    <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;    <span class="keywordtype">int</span> order2,</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;    <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;    <span class="keywordtype">int</span> cv_count1,</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;    <span class="keywordtype">int</span> cv_count2</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;    );</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>( <span class="keyword">const</span> <a class="code" href="class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; src );</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; </div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;  ~<a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>();</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; </div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>(<span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>&amp; src);</div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; </div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>&amp; src);</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160; </div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; src);</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160; </div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160; </div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::IsValid function.</span></div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;<span class="comment">    text_log - [in] If not null and the object is invalid,</span></div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;<span class="comment">                    a brief description of the problem</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;<span class="comment">                    suitable for debugging C++ code</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="comment">                    is printed in this log.</span></div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;<span class="comment">    True if the orders are at least two, dimension is positive,</span></div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;<span class="comment">    knot vectors are valid, and the other fields are valid</span></div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;<span class="comment">    for the specified orders and dimension.</span></div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;  ON_BOOL32 IsValid( </div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;          <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>* text_log = NULL </div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;          ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160; </div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::Dump function.</span></div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;<span class="comment">    text_log - [in] A listing of the values of the members.</span></div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;  <span class="keywordtype">void</span> Dump( <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>&amp; text_log) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; </div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::SizeOf function.</span></div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;<span class="comment">    An estimate of the amount of memory used by the class </span></div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;<span class="comment">    and its members.</span></div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SizeOf() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; </div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;  <span class="comment">// virtual ON_Object::DataCRC override</span></div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;  ON__UINT32 DataCRC(ON__UINT32 current_remainder) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160; </div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::Read function.</span></div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;<span class="comment">    Reads the definition of this class from an</span></div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;<span class="comment">    archive previously saved by ON_BezierVolue::Write.</span></div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;<span class="comment">    archive - [in] target archive</span></div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="comment">    True if successful.</span></div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;  ON_BOOL32 Read(</div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;    <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive</div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;    );</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160; </div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::Write function.</span></div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;<span class="comment">    Saves the definition of this class in serial binary</span></div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;<span class="comment">    form that can be read by ON_BezierVolue::Read.</span></div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;<span class="comment">    archive - [in] target archive</span></div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;<span class="comment">    True if successful.</span></div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;  ON_BOOL32 Write(</div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;    <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160; </div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::ObjectType function.</span></div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;<span class="comment">    Saves the definition of this class in serial binary</span></div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;<span class="comment">    form that can be read by ON_BezierVolue::Read.</span></div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;<span class="comment">    archive - [in] target archive</span></div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;<span class="comment">    True if successful.</span></div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;  ON::object_type ObjectType() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; </div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160;<span class="comment">    Overrides the pure virtual ON_Object::DestroyRuntimeCache function.</span></div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;<span class="comment">    Saves the definition of this class in serial binary</span></div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;<span class="comment">    form that can be read by ON_BezierVolue::Read.</span></div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;<span class="comment">    bDelete - [in] if true, the cache is deleted.  If false, the</span></div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;<span class="comment">       pointers to the cache are set to zero; this is done when</span></div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;<span class="comment">       the cache memory was allocated from a pool that has</span></div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;<span class="comment">       been destroyed and an attempt to free the memory would</span></div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;<span class="comment">       result in a crash.</span></div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;<span class="comment">    True if successful.</span></div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;  <span class="keywordtype">void</span> DestroyRuntimeCache( </div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;    <span class="keywordtype">bool</span> bDelete = <span class="keyword">true</span> </div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;    );</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160; </div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160; </div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::Dimension function.</span></div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;<span class="comment">    Gets a tight bounding box with respect to the coordinate</span></div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;<span class="comment">    system specified by the frame parameter.</span></div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160;<span class="comment">    bbox - [in/out]</span></div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;<span class="comment">    bGrowBox - [in] If true, the input bbox is grown to include</span></div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160;<span class="comment">        this object&#39;s bounding box.</span></div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;<span class="comment">    frame - [in] if not null, this specifies the coordinate system</span></div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160;<span class="comment">                frame.</span></div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160;<span class="comment">    True if successful.</span></div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;  <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160; </div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::GetBBox function.</span></div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;<span class="comment">    Gets the world axis aligned bounding box that contains</span></div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;<span class="comment">    the NURBS volume&#39;s control points.  The NURBS volume</span></div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;<span class="comment">    maps the unit cube into this box.</span></div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;<span class="comment">    boxmin - [in] array of Dimension() doubles</span></div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;<span class="comment">    boxmax - [in] array of Dimension() doubles</span></div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;<span class="comment">    bGrowBox =  [in] if true and the input is a valid box</span></div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;<span class="comment">                          then the input box is grown to</span></div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;<span class="comment">                          include this object&#39;s bounding box.</span></div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;  ON_BOOL32 GetBBox(</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;         <span class="keywordtype">double</span>* boxmin,</div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;         <span class="keywordtype">double</span>* boxmax,</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;         <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span> </div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160; </div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;<span class="comment">    Description:</span></div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;<span class="comment">    Get tight bounding box.</span></div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;<span class="comment">    Parameters:</span></div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;<span class="comment">        tight_bbox - [in/out] tight bounding box</span></div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;<span class="comment">        bGrowBox -[in]  (default=false)         </span></div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;<span class="comment">      If true and the input tight_bbox is valid, then returned</span></div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;<span class="comment">      tight_bbox is the union of the input tight_bbox and the </span></div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;<span class="comment">      surface&#39;s tight bounding box.</span></div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;<span class="comment">        xform -[in] (default=NULL)</span></div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="comment">      If not NULL, the tight bounding box of the transformed</span></div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;<span class="comment">      surface is calculated.  The surface is not modified.</span></div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;<span class="comment">    Returns:</span></div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160;<span class="comment">    True if a valid tight_bbox is returned.</span></div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;    <span class="keywordtype">bool</span> GetTightBoundingBox( </div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160;            <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, </div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;      <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span>,</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>* xform = 0</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160; </div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::Transform function.</span></div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;<span class="comment">    Transforms NURBS volume.</span></div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;<span class="comment">    xform - [in]</span></div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;  ON_BOOL32 Transform( </div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>&amp; xform</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;         );</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160; </div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::IsDeformable function.</span></div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;<span class="comment">    True because a NURBS volume can be accuratly modified </span></div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;<span class="comment">    with &quot;squishy&quot; transformations like projections, </span></div>
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;<span class="comment">    shears, an non-uniform scaling.</span></div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160;  <span class="keywordtype">bool</span> IsDeformable() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160; </div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;<span class="comment">    Overrides virtual ON_Geometry::MakeDeformable function.</span></div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;<span class="comment">    True because NURBS volumes are deformable.</span></div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;  <span class="keywordtype">bool</span> MakeDeformable();</div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160; </div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;<span class="comment">    True if the cage is a parallelogram within the tolerance.</span></div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;<span class="comment">    This means the cage can be used as a starting point</span></div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;<span class="comment">    for cage deformations.</span></div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;  <span class="keywordtype">bool</span> IsParallelogram(<span class="keywordtype">double</span> tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160; </div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;  <span class="keywordtype">bool</span> Create(</div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;    <span class="keywordtype">int</span> dim,</div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;    <span class="keywordtype">bool</span> is_rat,</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;    <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;    <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;    <span class="keywordtype">int</span> order2,</div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;    <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;    <span class="keywordtype">int</span> cv_count1,</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;    <span class="keywordtype">int</span> cv_count2</div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;    );</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160; </div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160;<span class="comment">    Create a Nurbs volume with corners defined by a bounding box.</span></div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160;<span class="comment">    box_corners - [in] 8 points that define corners of the volume</span></div>
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;<span class="comment">            7______________6</span></div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;<span class="comment">            |\             |\</span></div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160;<span class="comment">            | \            | \</span></div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;<span class="comment">            |  \ _____________\</span></div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160;<span class="comment">            |   4          |   5</span></div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;<span class="comment">            |   |          |   |</span></div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;<span class="comment">            |   |          |   |</span></div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160;<span class="comment">            3---|----------2   |</span></div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;<span class="comment">            \   |          \   |</span></div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;<span class="comment">             \  |z          \  |</span></div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;<span class="comment">            y \ |            \ |</span></div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;<span class="comment">               \0_____________\1</span></div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;<span class="comment">                       x</span></div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;  <span class="keywordtype">bool</span> Create(</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;    <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;    <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;    <span class="keywordtype">int</span> order2,</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;    <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;    <span class="keywordtype">int</span> cv_count1,</div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;    <span class="keywordtype">int</span> cv_count2</div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;    );</div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160; </div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;<span class="comment">    Create a nurbs volume from a 3d box</span></div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160;<span class="comment">    box_corners - [in] 8 points that define corners of the volume</span></div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;<span class="comment">            7______________6</span></div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;<span class="comment">            |\             |\</span></div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;<span class="comment">            | \            | \</span></div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;<span class="comment">            |  \ _____________\</span></div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;<span class="comment">            |   4          |   5</span></div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;<span class="comment">            |   |          |   |</span></div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment">            |   |          |   |</span></div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;<span class="comment">            3---|----------2   |</span></div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;<span class="comment">            \   |          \   |</span></div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;<span class="comment">             \  |t          \  |</span></div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;<span class="comment">            s \ |            \ |</span></div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;<span class="comment">               \0_____________\1</span></div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;<span class="comment">                       r</span></div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;  <span class="keywordtype">bool</span> Create(</div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>* box_corners,</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;    <span class="keywordtype">int</span> order0,</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;    <span class="keywordtype">int</span> order1,</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;    <span class="keywordtype">int</span> order2,</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;    <span class="keywordtype">int</span> cv_count0,</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;    <span class="keywordtype">int</span> cv_count1,</div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160;    <span class="keywordtype">int</span> cv_count2</div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;    );</div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160; </div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;  <span class="keywordtype">void</span> Destroy();</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160; </div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;  <span class="keywordtype">void</span> EmergencyDestroy(); <span class="comment">// call if memory used by ON_NurbsCage becomes invalid</span></div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; </div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a> Domain(</div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160; </div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;  <span class="keywordtype">bool</span> Reverse( </div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;    <span class="keywordtype">int</span> dir <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;    );</div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;  </div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;  <span class="keywordtype">bool</span> Transpose(</div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;    <span class="keywordtype">int</span> dir0,</div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160;    <span class="keywordtype">int</span> dir1</div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;    );</div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160; </div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;  <span class="keywordtype">bool</span> ClampEnd(</div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160;            <span class="keywordtype">int</span> dir,         <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;            <span class="keywordtype">int</span> end <span class="comment">// 0 = clamp start, 1 = clamp end, 2 = clamp start and end</span></div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;            );</div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160; </div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160;  <span class="keywordtype">bool</span> InsertKnot(</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;           <span class="keywordtype">int</span> dir,         <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;           <span class="keywordtype">double</span> knot_value, <span class="comment">// value of knot</span></div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160;           <span class="keywordtype">int</span> knot_multiplicity=1   <span class="comment">// multiplicity of knot ( &gt;= 1 and &lt;= degree )</span></div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;           );</div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160; </div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;  ON_BOOL32 IncreaseDegree(</div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;           <span class="keywordtype">int</span> dir,  <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;           <span class="keywordtype">int</span> desired_degree  <span class="comment">//  desired_degree</span></div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;           );</div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160; </div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;  ON_BOOL32 ChangeDimension(</div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;           <span class="keywordtype">int</span> desired_dimension  <span class="comment">//  desired_dimension</span></div>
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160;           );</div>
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160; </div>
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160;<span class="comment">    Evaluate the NURBS cage</span></div>
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160;<span class="comment">    r - [in]</span></div>
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160;<span class="comment">    s - [in]</span></div>
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160;<span class="comment">    t - [in] (r,s,t) = evaluation parameters</span></div>
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;<span class="comment">    der_count - [in]  (&gt;= 0)</span></div>
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;<span class="comment">    v_stride - [in] (&gt;= m_dim)</span></div>
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;<span class="comment">    v - [out] An array of length v_stride*(der_count+1)(der_count+2)*(der_count+3)/6.</span></div>
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;<span class="comment">              The evaluation results are stored in this array.</span></div>
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;<span class="comment">                P = v[0],...,v[m_dim-1]</span></div>
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160;<span class="comment">                Dr = v[v_stride],...</span></div>
<div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160;<span class="comment">                Ds = v[2*v_stride],...</span></div>
<div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160;<span class="comment">                Dt = v[3*v_stride],...</span></div>
<div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;<span class="comment">              In general, Dr^i Ds^j Dt^k is returned in v[n],...,v[n+m_dim-1], where</span></div>
<div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;<span class="comment">               d = (i+j+k)</span></div>
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160;<span class="comment">               n = v_stride*( d*(d+1)*(d+2)/6 + (j+k)*(j+k+1)/2 + k) </span></div>
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160;<span class="comment">    side - [in] specifies the span to use for the evaluation</span></div>
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160;<span class="comment">                when r, s, or t is at a knot value.</span></div>
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160;<span class="comment">            0 = default</span></div>
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160;<span class="comment">            1 = from upper NE quadrant</span></div>
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160;<span class="comment">            2 = from upper NW quadrant</span></div>
<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;<span class="comment">            3 = from upper SW quadrant</span></div>
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160;<span class="comment">            4 = from upper SE quadrant</span></div>
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160;<span class="comment">            5 = from lower NE quadrant</span></div>
<div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160;<span class="comment">            6 = from lower NW quadrant</span></div>
<div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160;<span class="comment">            7 = from lower SW quadrant</span></div>
<div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160;<span class="comment">            8 = from lower SE quadrant  </span></div>
<div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160;<span class="comment">    hint - [in/out] If a bunch of evaluations will be performed that</span></div>
<div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160;<span class="comment">                    tend to occur in the same region, then</span></div>
<div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;<span class="comment">                    hint[3] can be used to speed the search for</span></div>
<div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160;<span class="comment">                    the evaluation span.  The input value is</span></div>
<div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160;<span class="comment">                    used as a search hint and the output value</span></div>
<div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160;<span class="comment">                    records the span used for that evaluation.</span></div>
<div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160;<span class="comment">  Example:</span></div>
<div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160;<span class="comment">          int der_count = 2;</span></div>
<div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160;<span class="comment">          int v_stride = dim;</span></div>
<div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160;<span class="comment">          double v[v_stride*(der_count+1)*(der_count+2)*(der_count+3)/6];</span></div>
<div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160;<span class="comment">          int side = 0;</span></div>
<div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160;<span class="comment">          int hint[3]; hint[0] = 0; hint[1] = 0; hint[2] = 0;</span></div>
<div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160;<span class="comment">          bool rc = cage.Evaluate(r,s,t,der_count,v_stride,v,side,hint);</span></div>
<div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160;<span class="comment">          ON_3dPoint P = v;</span></div>
<div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;<span class="comment">          // first order partial derivatives</span></div>
<div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;<span class="comment">          ON_3dVector Dr = v + v_stride;</span></div>
<div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160;<span class="comment">          ON_3dVector Ds = v + 2*v_stride;</span></div>
<div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;<span class="comment">          ON_3dVector Dt = v + 3*v_stride;</span></div>
<div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160;<span class="comment">          // second order partial derivatives</span></div>
<div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160;<span class="comment">          ON_3dVector Drr = v + 4*v_stride;</span></div>
<div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;<span class="comment">          ON_3dVector Drs = v + 5*v_stride;</span></div>
<div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;<span class="comment">          ON_3dVector Drt = v + 6*v_stride;</span></div>
<div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160;<span class="comment">          ON_3dVector Dss = v + 7*v_stride;</span></div>
<div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160;<span class="comment">          ON_3dVector Dst = v + 8*v_stride;</span></div>
<div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160;<span class="comment">          ON_3dVector Dtt = v + 8*v_stride;</span></div>
<div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160;<span class="comment">    True if successful</span></div>
<div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160;<span class="comment">    ON_NurbsCage::PointAt</span></div>
<div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160;  <span class="keywordtype">bool</span> Evaluate( </div>
<div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>&#160;         <span class="keywordtype">double</span> r, </div>
<div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160;         <span class="keywordtype">double</span> s, </div>
<div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l01452"></a><span class="lineno"> 1452</span>&#160;         <span class="keywordtype">int</span> der_count,</div>
<div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>&#160;         <span class="keywordtype">int</span> v_stride,</div>
<div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>&#160;         <span class="keywordtype">double</span>* v,</div>
<div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>&#160;         <span class="keywordtype">int</span> side=0,</div>
<div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160;         <span class="keywordtype">int</span>* hint=0</div>
<div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160; </div>
<div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>&#160;<span class="comment">    Evaluates bezer volume map.</span></div>
<div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160;<span class="comment">    rst - [in]</span></div>
<div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160;<span class="comment">    Value of the nurbs volume map at (r,s,t).</span></div>
<div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>&#160;  <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> PointAt(</div>
<div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160;         <span class="keywordtype">double</span> r, </div>
<div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160;         <span class="keywordtype">double</span> s, </div>
<div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160;         <span class="keywordtype">double</span> t</div>
<div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>&#160; </div>
<div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* IsoSurface(</div>
<div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160;         <span class="keywordtype">double</span> c,</div>
<div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160;         <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* srf = 0</div>
<div class="line"><a name="l01477"></a><span class="lineno"> 1477</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>&#160; </div>
<div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>&#160;  <span class="keywordtype">bool</span> Trim(</div>
<div class="line"><a name="l01480"></a><span class="lineno"> 1480</span>&#160;         <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l01482"></a><span class="lineno"> 1482</span>&#160;         );</div>
<div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>&#160; </div>
<div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>&#160;  <span class="keywordtype">bool</span> Extend(</div>
<div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>&#160;    <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l01487"></a><span class="lineno"> 1487</span>&#160;    );</div>
<div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>&#160; </div>
<div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>&#160;<span class="comment">    Evaluates bezer volume map.</span></div>
<div class="line"><a name="l01492"></a><span class="lineno"> 1492</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>&#160;<span class="comment">    rst - [in]</span></div>
<div class="line"><a name="l01494"></a><span class="lineno"> 1494</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>&#160;<span class="comment">    Value of the nurbs volume map at (rst.x,rst.y,rst.z).</span></div>
<div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>&#160;  <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> PointAt(</div>
<div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> rst</div>
<div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160; </div>
<div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160;  <span class="keywordtype">bool</span> IsRational() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>&#160;  </div>
<div class="line"><a name="l01503"></a><span class="lineno"> 1503</span>&#160;  <span class="keywordtype">int</span> CVSize() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>&#160;  </div>
<div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>&#160;  <span class="keywordtype">int</span> Order(</div>
<div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>&#160;        <span class="keywordtype">int</span> dir     <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160;    </div>
<div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>&#160;  <span class="keywordtype">int</span> CVCount(      <span class="comment">// number of control vertices</span></div>
<div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160;        <span class="keywordtype">int</span>         <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160; </div>
<div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>&#160;  <span class="keywordtype">int</span> CVCount(      <span class="comment">// total number of control vertices</span></div>
<div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160;        <span class="keywordtype">void</span></div>
<div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160; </div>
<div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>&#160;  <span class="keywordtype">int</span> KnotCount(    <span class="comment">// total number of knots in knot vector</span></div>
<div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>&#160;        <span class="keywordtype">int</span> dir     <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01519"></a><span class="lineno"> 1519</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>&#160; </div>
<div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>&#160;  <span class="keywordtype">int</span> Degree(</div>
<div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160;        <span class="keywordtype">int</span> dir</div>
<div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>&#160; </div>
<div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160; </div>
<div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160;  <span class="keywordtype">int</span> SpanCount(</div>
<div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160;    <span class="keywordtype">int</span> dir         <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>&#160; </div>
<div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>&#160;  <span class="keywordtype">bool</span> GetSpanVector(</div>
<div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>&#160;    <span class="keywordtype">int</span> dir,        <span class="comment">// dir 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>&#160;    <span class="keywordtype">double</span>* span_vector</div>
<div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01534"></a><span class="lineno"> 1534</span>&#160; </div>
<div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160;<span class="comment">    Expert user function to get a pointer to control vertex</span></div>
<div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160;<span class="comment">    memory.  If you are not an expert user, please use</span></div>
<div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160;<span class="comment">    ON_NurbsCage::GetCV( ON_3dPoint&amp; ) or </span></div>
<div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>&#160;<span class="comment">    ON_NurbsCage::GetCV( ON_4dPoint&amp; ).</span></div>
<div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160;<span class="comment">    cv_index0 - [in] (0 &lt;= cv_index0 &lt; m_order[0])</span></div>
<div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>&#160;<span class="comment">    cv_index1 - [in] (0 &lt;= cv_index1 &lt; m_order[1])</span></div>
<div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>&#160;<span class="comment">    Pointer to control vertex.</span></div>
<div class="line"><a name="l01546"></a><span class="lineno"> 1546</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>&#160;<span class="comment">    If the Nurbs surface is rational, the format of the </span></div>
<div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160;<span class="comment">    returned array is a homogeneos rational point with</span></div>
<div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>&#160;<span class="comment">    length m_dim+1.  If the Nurbs surface is not rational, </span></div>
<div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>&#160;<span class="comment">    the format of the returned array is a nonrational </span></div>
<div class="line"><a name="l01551"></a><span class="lineno"> 1551</span>&#160;<span class="comment">    euclidean point with length m_dim.</span></div>
<div class="line"><a name="l01552"></a><span class="lineno"> 1552</span>&#160;<span class="comment">  See Also</span></div>
<div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>&#160;<span class="comment">    ON_NurbsCage::CVStyle</span></div>
<div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>&#160;<span class="comment">    ON_NurbsCage::GetCV</span></div>
<div class="line"><a name="l01555"></a><span class="lineno"> 1555</span>&#160;<span class="comment">    ON_NurbsCage::Weight</span></div>
<div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>&#160;  <span class="keywordtype">double</span>* CV(</div>
<div class="line"><a name="l01558"></a><span class="lineno"> 1558</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01559"></a><span class="lineno"> 1559</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>&#160;        <span class="keywordtype">int</span> k</div>
<div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>&#160; </div>
<div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>&#160;<span class="comment">    Returns the style of control vertices in the m_cv array.</span></div>
<div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>&#160;<span class="comment">    ON::not_rational                m_is_rat is false</span></div>
<div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>&#160;<span class="comment">    ON::homogeneous_rational        m_is_rat is true</span></div>
<div class="line"><a name="l01570"></a><span class="lineno"> 1570</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>&#160;  ON::point_style CVStyle() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>&#160; </div>
<div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>&#160;  <span class="keywordtype">double</span> Weight(        <span class="comment">// get value of control vertex weight</span></div>
<div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>&#160;        <span class="keywordtype">int</span> k</div>
<div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>&#160; </div>
<div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>&#160;  <span class="keywordtype">bool</span> SetWeight(      <span class="comment">// get value of control vertex weight</span></div>
<div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>&#160;        <span class="keywordtype">double</span> w</div>
<div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>&#160;        );</div>
<div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>&#160; </div>
<div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>&#160;  <span class="keywordtype">bool</span> SetCV(              <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01588"></a><span class="lineno"> 1588</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>&#160;        ON::point_style, <span class="comment">// style of input point</span></div>
<div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span>*     <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>&#160;        );</div>
<div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>&#160; </div>
<div class="line"><a name="l01594"></a><span class="lineno"> 1594</span>&#160;  <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>&#160;  <span class="comment">// If NURBS is rational, weight</span></div>
<div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>&#160;  <span class="comment">// will be set to 1.</span></div>
<div class="line"><a name="l01597"></a><span class="lineno"> 1597</span>&#160;  <span class="keywordtype">bool</span> SetCV(</div>
<div class="line"><a name="l01598"></a><span class="lineno"> 1598</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01599"></a><span class="lineno"> 1599</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01600"></a><span class="lineno"> 1600</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point</div>
<div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>&#160;        );</div>
<div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>&#160; </div>
<div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>&#160;  <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>&#160;  <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l01606"></a><span class="lineno"> 1606</span>&#160;  <span class="comment">// If NURBS is not rational, euclidean</span></div>
<div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>&#160;  <span class="comment">// location of homogeneous point will</span></div>
<div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>&#160;  <span class="comment">// be used.</span></div>
<div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>&#160;  <span class="keywordtype">bool</span> SetCV(</div>
<div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01612"></a><span class="lineno"> 1612</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n__4d_point.html">ON_4dPoint</a>&amp; hpoint</div>
<div class="line"><a name="l01614"></a><span class="lineno"> 1614</span>&#160;        );</div>
<div class="line"><a name="l01615"></a><span class="lineno"> 1615</span>&#160; </div>
<div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>&#160;  <span class="keywordtype">bool</span> GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01618"></a><span class="lineno"> 1618</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>&#160;        ON::point_style, <span class="comment">// style to use for output point</span></div>
<div class="line"><a name="l01621"></a><span class="lineno"> 1621</span>&#160;        <span class="keywordtype">double</span>*           <span class="comment">// array of length &gt;= CVSize()</span></div>
<div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01623"></a><span class="lineno"> 1623</span>&#160; </div>
<div class="line"><a name="l01624"></a><span class="lineno"> 1624</span>&#160;  <span class="keywordtype">bool</span> GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01627"></a><span class="lineno"> 1627</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>&#160;        <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp;      <span class="comment">// gets euclidean cv when NURBS is rational</span></div>
<div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01630"></a><span class="lineno"> 1630</span>&#160; </div>
<div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>&#160;  <span class="keywordtype">bool</span> GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l01632"></a><span class="lineno"> 1632</span>&#160;        <span class="keywordtype">int</span> i,</div>
<div class="line"><a name="l01633"></a><span class="lineno"> 1633</span>&#160;        <span class="keywordtype">int</span> j,</div>
<div class="line"><a name="l01634"></a><span class="lineno"> 1634</span>&#160;        <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>&#160;        <a class="code" href="class_o_n__4d_point.html">ON_4dPoint</a>&amp;      <span class="comment">// gets homogeneous cv</span></div>
<div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>&#160; </div>
<div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>&#160;<span class="comment">    dir - [in] 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>&#160;<span class="comment">    knot_index - [in] 0 &lt;= knot_index &lt; KnotCount(dir)</span></div>
<div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>&#160;<span class="comment">    knot_value - [in]</span></div>
<div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>&#160;<span class="comment">    True if dir and knot_index parameters were valid and knot value</span></div>
<div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>&#160;<span class="comment">    was set.</span></div>
<div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>&#160;  <span class="keywordtype">bool</span> SetKnot(</div>
<div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>&#160;        <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>&#160;        <span class="keywordtype">int</span> knot_index,</div>
<div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>&#160;        <span class="keywordtype">double</span> knot_value</div>
<div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>&#160;        );</div>
<div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>&#160; </div>
<div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>&#160;<span class="comment">    dir - [in] 0 = &quot;r&quot;, 1 = &quot;s&quot;, 2 = &quot;t&quot;</span></div>
<div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>&#160;<span class="comment">    knot_index - [in] 0 &lt;= knot_index &lt; KnotCount(dir)</span></div>
<div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>&#160;<span class="comment">    Value of knot or ON_UNSET_VALUE if input parameters are not valid.</span></div>
<div class="line"><a name="l01659"></a><span class="lineno"> 1659</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>&#160;  <span class="keywordtype">double</span> Knot(</div>
<div class="line"><a name="l01661"></a><span class="lineno"> 1661</span>&#160;        <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l01662"></a><span class="lineno"> 1662</span>&#160;        <span class="keywordtype">int</span> knot_index</div>
<div class="line"><a name="l01663"></a><span class="lineno"> 1663</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>&#160; </div>
<div class="line"><a name="l01665"></a><span class="lineno"> 1665</span>&#160;  <span class="keywordtype">bool</span> ZeroCVs(); <span class="comment">// zeros control vertices and, if rational, sets weights to 1</span></div>
<div class="line"><a name="l01666"></a><span class="lineno"> 1666</span>&#160; </div>
<div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>&#160;  <span class="keywordtype">bool</span> MakeRational();</div>
<div class="line"><a name="l01668"></a><span class="lineno"> 1668</span>&#160; </div>
<div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>&#160;  <span class="keywordtype">bool</span> MakeNonRational();</div>
<div class="line"><a name="l01670"></a><span class="lineno"> 1670</span>&#160; </div>
<div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>&#160;  <span class="keywordtype">bool</span> IsClosed(   <span class="comment">// true if NURBS cage is closed (either cage has</span></div>
<div class="line"><a name="l01672"></a><span class="lineno"> 1672</span>&#160;        <span class="keywordtype">int</span> <span class="comment">// dir // clamped end knots and euclidean location of start</span></div>
<div class="line"><a name="l01673"></a><span class="lineno"> 1673</span>&#160;        ) <span class="keyword">const</span>;   <span class="comment">// CV = euclidean location of end CV, or cage is</span></div>
<div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>&#160;                   <span class="comment">// periodic.)</span></div>
<div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>&#160; </div>
<div class="line"><a name="l01676"></a><span class="lineno"> 1676</span>&#160;  <span class="keywordtype">bool</span> IsPeriodic( <span class="comment">// true if NURBS cage is periodic (degree &gt; 1,</span></div>
<div class="line"><a name="l01677"></a><span class="lineno"> 1677</span>&#160;        <span class="keywordtype">int</span> <span class="comment">// dir // periodic knot vector, last degree many CVs </span></div>
<div class="line"><a name="l01678"></a><span class="lineno"> 1678</span>&#160;        ) <span class="keyword">const</span>;   <span class="comment">// are duplicates of first degree many CVs.)</span></div>
<div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>&#160; </div>
<div class="line"><a name="l01680"></a><span class="lineno"> 1680</span>&#160;  <span class="keywordtype">bool</span> IsSingular( <span class="comment">// true if cage side is collapsed to a point</span></div>
<div class="line"><a name="l01681"></a><span class="lineno"> 1681</span>&#160;        <span class="keywordtype">int</span>        <span class="comment">// side of parameter space to test</span></div>
<div class="line"><a name="l01682"></a><span class="lineno"> 1682</span>&#160;                   <span class="comment">// 0 = south, 1 = east, 2 = north, 3 = west</span></div>
<div class="line"><a name="l01683"></a><span class="lineno"> 1683</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01684"></a><span class="lineno"> 1684</span>&#160; </div>
<div class="line"><a name="l01685"></a><span class="lineno"> 1685</span>&#160;  <span class="keywordtype">double</span> GrevilleAbcissa(</div>
<div class="line"><a name="l01686"></a><span class="lineno"> 1686</span>&#160;          <span class="keywordtype">int</span> dir,    <span class="comment">// dir</span></div>
<div class="line"><a name="l01687"></a><span class="lineno"> 1687</span>&#160;          <span class="keywordtype">int</span> gindex  <span class="comment">// index (0 &lt;= index &lt; CVCount(dir)</span></div>
<div class="line"><a name="l01688"></a><span class="lineno"> 1688</span>&#160;          ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01689"></a><span class="lineno"> 1689</span>&#160; </div>
<div class="line"><a name="l01691"></a><span class="lineno"> 1691</span>&#160;  <span class="comment">// Tools for managing CV and knot memory</span></div>
<div class="line"><a name="l01692"></a><span class="lineno"> 1692</span>&#160; </div>
<div class="line"><a name="l01693"></a><span class="lineno"> 1693</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01694"></a><span class="lineno"> 1694</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01695"></a><span class="lineno"> 1695</span>&#160;<span class="comment">    cv_capacity - [in] number of doubles to reserve</span></div>
<div class="line"><a name="l01696"></a><span class="lineno"> 1696</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01697"></a><span class="lineno"> 1697</span>&#160;  <span class="keywordtype">bool</span> ReserveCVCapacity(</div>
<div class="line"><a name="l01698"></a><span class="lineno"> 1698</span>&#160;    <span class="keywordtype">int</span> cv_capacity</div>
<div class="line"><a name="l01699"></a><span class="lineno"> 1699</span>&#160;    );</div>
<div class="line"><a name="l01700"></a><span class="lineno"> 1700</span>&#160; </div>
<div class="line"><a name="l01701"></a><span class="lineno"> 1701</span>&#160;  <span class="keywordtype">bool</span> ReserveKnotCapacity(</div>
<div class="line"><a name="l01702"></a><span class="lineno"> 1702</span>&#160;    <span class="keywordtype">int</span> dir,</div>
<div class="line"><a name="l01703"></a><span class="lineno"> 1703</span>&#160;    <span class="keywordtype">int</span> cv_capacity</div>
<div class="line"><a name="l01704"></a><span class="lineno"> 1704</span>&#160;    );</div>
<div class="line"><a name="l01705"></a><span class="lineno"> 1705</span>&#160; </div>
<div class="line"><a name="l01707"></a><span class="lineno"> 1707</span>&#160;  <span class="comment">// Implementation</span></div>
<div class="line"><a name="l01708"></a><span class="lineno"> 1708</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01709"></a><span class="lineno"> 1709</span>&#160;  <span class="comment">// NOTE: These members are left &quot;public&quot; so that expert users may efficiently</span></div>
<div class="line"><a name="l01710"></a><span class="lineno"> 1710</span>&#160;  <span class="comment">//       create nurbs curves using the default constructor and borrow the</span></div>
<div class="line"><a name="l01711"></a><span class="lineno"> 1711</span>&#160;  <span class="comment">//       knot and CV arrays from their native NURBS representation.</span></div>
<div class="line"><a name="l01712"></a><span class="lineno"> 1712</span>&#160;  <span class="comment">//       No technical support will be provided for users who access these</span></div>
<div class="line"><a name="l01713"></a><span class="lineno"> 1713</span>&#160;  <span class="comment">//       members directly.  If you can&#39;t get your stuff to work, then use</span></div>
<div class="line"><a name="l01714"></a><span class="lineno"> 1714</span>&#160;  <span class="comment">//       the constructor with the arguments and the SetKnot() and SetCV()</span></div>
<div class="line"><a name="l01715"></a><span class="lineno"> 1715</span>&#160;  <span class="comment">//       functions to fill in the arrays.</span></div>
<div class="line"><a name="l01716"></a><span class="lineno"> 1716</span>&#160; </div>
<div class="line"><a name="l01717"></a><span class="lineno"> 1717</span>&#160; </div>
<div class="line"><a name="l01718"></a><span class="lineno"> 1718</span>&#160;  <span class="keywordtype">int</span>     m_dim;</div>
<div class="line"><a name="l01719"></a><span class="lineno"> 1719</span>&#160;  <span class="keywordtype">bool</span>    m_is_rat;</div>
<div class="line"><a name="l01720"></a><span class="lineno"> 1720</span>&#160;  <span class="keywordtype">int</span>     m_order[3];</div>
<div class="line"><a name="l01721"></a><span class="lineno"> 1721</span>&#160;  <span class="keywordtype">int</span>     m_cv_count[3];</div>
<div class="line"><a name="l01722"></a><span class="lineno"> 1722</span>&#160;  <span class="keywordtype">int</span>     m_knot_capacity[3];</div>
<div class="line"><a name="l01723"></a><span class="lineno"> 1723</span>&#160;  <span class="keywordtype">double</span>* m_knot[3];</div>
<div class="line"><a name="l01724"></a><span class="lineno"> 1724</span>&#160;  <span class="keywordtype">int</span>     m_cv_stride[3];</div>
<div class="line"><a name="l01725"></a><span class="lineno"> 1725</span>&#160;  <span class="keywordtype">int</span>     m_cv_capacity;</div>
<div class="line"><a name="l01726"></a><span class="lineno"> 1726</span>&#160;  <span class="keywordtype">double</span>* m_cv;</div>
<div class="line"><a name="l01727"></a><span class="lineno"> 1727</span>&#160;};</div>
<div class="line"><a name="l01728"></a><span class="lineno"> 1728</span>&#160; </div>
<div class="line"><a name="l01729"></a><span class="lineno"> 1729</span>&#160;ON_DECL</div>
<div class="line"><a name="l01730"></a><span class="lineno"> 1730</span>&#160;<span class="keywordtype">bool</span> ON_GetCageXform( </div>
<div class="line"><a name="l01731"></a><span class="lineno"> 1731</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>&amp; cage, </div>
<div class="line"><a name="l01732"></a><span class="lineno"> 1732</span>&#160;          <a class="code" href="class_o_n___xform.html">ON_Xform</a>&amp; cage_xform </div>
<div class="line"><a name="l01733"></a><span class="lineno"> 1733</span>&#160;          );</div>
<div class="line"><a name="l01734"></a><span class="lineno"> 1734</span>&#160; </div>
<div class="line"><a name="l01735"></a><span class="lineno"> 1735</span>&#160; </div>
<div class="line"><a name="l01736"></a><span class="lineno"><a class="line" href="class_o_n___morph_control.html"> 1736</a></span>&#160;<span class="keyword">class </span>PCL_EXPORTS ON_CLASS <a class="code" href="class_o_n___morph_control.html">ON_MorphControl</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___geometry.html">ON_Geometry</a></div>
<div class="line"><a name="l01737"></a><span class="lineno"> 1737</span>&#160;{</div>
<div class="line"><a name="l01738"></a><span class="lineno"> 1738</span>&#160;  ON_OBJECT_DECLARE(<a class="code" href="class_o_n___morph_control.html">ON_MorphControl</a>);</div>
<div class="line"><a name="l01739"></a><span class="lineno"> 1739</span>&#160; </div>
<div class="line"><a name="l01740"></a><span class="lineno"> 1740</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01741"></a><span class="lineno"> 1741</span>&#160;  <a class="code" href="class_o_n___morph_control.html">ON_MorphControl</a>();</div>
<div class="line"><a name="l01742"></a><span class="lineno"> 1742</span>&#160;  ~<a class="code" href="class_o_n___morph_control.html">ON_MorphControl</a>();</div>
<div class="line"><a name="l01743"></a><span class="lineno"> 1743</span>&#160;  <span class="comment">// C++ default copy construction and operator= work fine.</span></div>
<div class="line"><a name="l01744"></a><span class="lineno"> 1744</span>&#160; </div>
<div class="line"><a name="l01745"></a><span class="lineno"> 1745</span>&#160; </div>
<div class="line"><a name="l01746"></a><span class="lineno"> 1746</span>&#160;  <span class="keywordtype">void</span> Destroy();</div>
<div class="line"><a name="l01747"></a><span class="lineno"> 1747</span>&#160;  </div>
<div class="line"><a name="l01748"></a><span class="lineno"> 1748</span>&#160; </div>
<div class="line"><a name="l01750"></a><span class="lineno"> 1750</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01751"></a><span class="lineno"> 1751</span>&#160;  <span class="comment">// ON_Object virtual functions</span></div>
<div class="line"><a name="l01752"></a><span class="lineno"> 1752</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01753"></a><span class="lineno"> 1753</span>&#160; </div>
<div class="line"><a name="l01754"></a><span class="lineno"> 1754</span>&#160;  <span class="keywordtype">void</span> MemoryRelocate();</div>
<div class="line"><a name="l01755"></a><span class="lineno"> 1755</span>&#160; </div>
<div class="line"><a name="l01756"></a><span class="lineno"> 1756</span>&#160;  ON_BOOL32 IsValid( <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>* text_log = NULL ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01757"></a><span class="lineno"> 1757</span>&#160; </div>
<div class="line"><a name="l01758"></a><span class="lineno"> 1758</span>&#160;  <span class="keywordtype">void</span> Dump( <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>&amp; ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01759"></a><span class="lineno"> 1759</span>&#160; </div>
<div class="line"><a name="l01760"></a><span class="lineno"> 1760</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SizeOf() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01761"></a><span class="lineno"> 1761</span>&#160; </div>
<div class="line"><a name="l01762"></a><span class="lineno"> 1762</span>&#160;  ON_BOOL32 Write(</div>
<div class="line"><a name="l01763"></a><span class="lineno"> 1763</span>&#160;    <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive</div>
<div class="line"><a name="l01764"></a><span class="lineno"> 1764</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01765"></a><span class="lineno"> 1765</span>&#160; </div>
<div class="line"><a name="l01766"></a><span class="lineno"> 1766</span>&#160;  ON_BOOL32 Read(</div>
<div class="line"><a name="l01767"></a><span class="lineno"> 1767</span>&#160;    <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive</div>
<div class="line"><a name="l01768"></a><span class="lineno"> 1768</span>&#160;    );</div>
<div class="line"><a name="l01769"></a><span class="lineno"> 1769</span>&#160; </div>
<div class="line"><a name="l01770"></a><span class="lineno"> 1770</span>&#160;  ON::object_type ObjectType() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01771"></a><span class="lineno"> 1771</span>&#160; </div>
<div class="line"><a name="l01772"></a><span class="lineno"> 1772</span>&#160;  <span class="keywordtype">void</span> DestroyRuntimeCache( <span class="keywordtype">bool</span> bDelete = <span class="keyword">true</span> );</div>
<div class="line"><a name="l01773"></a><span class="lineno"> 1773</span>&#160; </div>
<div class="line"><a name="l01775"></a><span class="lineno"> 1775</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01776"></a><span class="lineno"> 1776</span>&#160;  <span class="comment">// ON_Geometry virtual functions</span></div>
<div class="line"><a name="l01777"></a><span class="lineno"> 1777</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01778"></a><span class="lineno"> 1778</span>&#160; </div>
<div class="line"><a name="l01779"></a><span class="lineno"> 1779</span>&#160;  <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01780"></a><span class="lineno"> 1780</span>&#160; </div>
<div class="line"><a name="l01781"></a><span class="lineno"> 1781</span>&#160;  ON_BOOL32 GetBBox(</div>
<div class="line"><a name="l01782"></a><span class="lineno"> 1782</span>&#160;         <span class="keywordtype">double</span>* boxmin,</div>
<div class="line"><a name="l01783"></a><span class="lineno"> 1783</span>&#160;         <span class="keywordtype">double</span>* boxmax,</div>
<div class="line"><a name="l01784"></a><span class="lineno"> 1784</span>&#160;         <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span></div>
<div class="line"><a name="l01785"></a><span class="lineno"> 1785</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01786"></a><span class="lineno"> 1786</span>&#160; </div>
<div class="line"><a name="l01787"></a><span class="lineno"> 1787</span>&#160;    <span class="keywordtype">bool</span> GetTightBoundingBox( </div>
<div class="line"><a name="l01788"></a><span class="lineno"> 1788</span>&#160;            <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, </div>
<div class="line"><a name="l01789"></a><span class="lineno"> 1789</span>&#160;      <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span>,</div>
<div class="line"><a name="l01790"></a><span class="lineno"> 1790</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>* xform = 0</div>
<div class="line"><a name="l01791"></a><span class="lineno"> 1791</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01792"></a><span class="lineno"> 1792</span>&#160; </div>
<div class="line"><a name="l01793"></a><span class="lineno"> 1793</span>&#160;  <span class="keywordtype">void</span> ClearBoundingBox();</div>
<div class="line"><a name="l01794"></a><span class="lineno"> 1794</span>&#160; </div>
<div class="line"><a name="l01795"></a><span class="lineno"> 1795</span>&#160;  ON_BOOL32 Transform( </div>
<div class="line"><a name="l01796"></a><span class="lineno"> 1796</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>&amp; xform</div>
<div class="line"><a name="l01797"></a><span class="lineno"> 1797</span>&#160;         );</div>
<div class="line"><a name="l01798"></a><span class="lineno"> 1798</span>&#160; </div>
<div class="line"><a name="l01799"></a><span class="lineno"> 1799</span>&#160;  ON_BOOL32 HasBrepForm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01800"></a><span class="lineno"> 1800</span>&#160; </div>
<div class="line"><a name="l01801"></a><span class="lineno"> 1801</span>&#160;  <a class="code" href="class_o_n___brep.html">ON_Brep</a>* BrepForm( <a class="code" href="class_o_n___brep.html">ON_Brep</a>* brep = NULL ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01802"></a><span class="lineno"> 1802</span>&#160; </div>
<div class="line"><a name="l01803"></a><span class="lineno"> 1803</span>&#160; </div>
<div class="line"><a name="l01804"></a><span class="lineno"> 1804</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01805"></a><span class="lineno"> 1805</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01806"></a><span class="lineno"> 1806</span>&#160;<span class="comment">    True if the target NURBS object is rational</span></div>
<div class="line"><a name="l01807"></a><span class="lineno"> 1807</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01808"></a><span class="lineno"> 1808</span>&#160;  <span class="keywordtype">bool</span> IsRational() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01809"></a><span class="lineno"> 1809</span>&#160; </div>
<div class="line"><a name="l01810"></a><span class="lineno"> 1810</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01811"></a><span class="lineno"> 1811</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01812"></a><span class="lineno"> 1812</span>&#160;<span class="comment">    Makes the target NURBS object rational.</span></div>
<div class="line"><a name="l01813"></a><span class="lineno"> 1813</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01814"></a><span class="lineno"> 1814</span>&#160;  <span class="keywordtype">bool</span> MakeRational();</div>
<div class="line"><a name="l01815"></a><span class="lineno"> 1815</span>&#160; </div>
<div class="line"><a name="l01816"></a><span class="lineno"> 1816</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01817"></a><span class="lineno"> 1817</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01818"></a><span class="lineno"> 1818</span>&#160;<span class="comment">    Makes the target NURBS object non-rational.</span></div>
<div class="line"><a name="l01819"></a><span class="lineno"> 1819</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01820"></a><span class="lineno"> 1820</span>&#160;  <span class="keywordtype">bool</span> MakeNonRational();</div>
<div class="line"><a name="l01821"></a><span class="lineno"> 1821</span>&#160; </div>
<div class="line"><a name="l01822"></a><span class="lineno"> 1822</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01823"></a><span class="lineno"> 1823</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01824"></a><span class="lineno"> 1824</span>&#160;<span class="comment">    Number of control points in the target NURBS object.</span></div>
<div class="line"><a name="l01825"></a><span class="lineno"> 1825</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01826"></a><span class="lineno"> 1826</span>&#160;  <span class="keywordtype">int</span> CVCount() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01827"></a><span class="lineno"> 1827</span>&#160; </div>
<div class="line"><a name="l01828"></a><span class="lineno"> 1828</span>&#160;  <span class="keywordtype">int</span> CVCount(<span class="keywordtype">int</span> dir) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01829"></a><span class="lineno"> 1829</span>&#160;  <span class="keywordtype">int</span> Order(<span class="keywordtype">int</span> dir) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01830"></a><span class="lineno"> 1830</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span>* Knot(<span class="keywordtype">int</span> dir) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01831"></a><span class="lineno"> 1831</span>&#160;  <a class="code" href="structtag_o_n__3dex.html">ON_3dex</a> MaxCVIndex() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01832"></a><span class="lineno"> 1832</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span>* CV(<a class="code" href="structtag_o_n__3dex.html">ON_3dex</a>) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01833"></a><span class="lineno"> 1833</span>&#160;  <span class="keywordtype">double</span> Weight(<a class="code" href="structtag_o_n__3dex.html">ON_3dex</a>) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01834"></a><span class="lineno"> 1834</span>&#160; </div>
<div class="line"><a name="l01836"></a><span class="lineno"> 1836</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01837"></a><span class="lineno"> 1837</span>&#160;  <span class="comment">// Localizers</span></div>
<div class="line"><a name="l01838"></a><span class="lineno"> 1838</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01839"></a><span class="lineno"> 1839</span>&#160; </div>
<div class="line"><a name="l01840"></a><span class="lineno"> 1840</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01841"></a><span class="lineno"> 1841</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01842"></a><span class="lineno"> 1842</span>&#160;<span class="comment">    Adds localizer with support near the controling NURBS object.</span></div>
<div class="line"><a name="l01843"></a><span class="lineno"> 1843</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01844"></a><span class="lineno"> 1844</span>&#160;<span class="comment">    support_distance - [in] &gt;= 0</span></div>
<div class="line"><a name="l01845"></a><span class="lineno"> 1845</span>&#160;<span class="comment">      If the distance a point to the controls NURBS </span></div>
<div class="line"><a name="l01846"></a><span class="lineno"> 1846</span>&#160;<span class="comment">      curve/surface/cage is less than or equal to support_distance,</span></div>
<div class="line"><a name="l01847"></a><span class="lineno"> 1847</span>&#160;<span class="comment">      then MorphPoint() deformation has 100% effect.</span></div>
<div class="line"><a name="l01848"></a><span class="lineno"> 1848</span>&#160;<span class="comment">      </span></div>
<div class="line"><a name="l01849"></a><span class="lineno"> 1849</span>&#160;<span class="comment">    falloff_distance - [in] &gt; 0</span></div>
<div class="line"><a name="l01850"></a><span class="lineno"> 1850</span>&#160;<span class="comment">      If the distance a point to the controls NURBS </span></div>
<div class="line"><a name="l01851"></a><span class="lineno"> 1851</span>&#160;<span class="comment">      curve/surface/cage is more than support_distance+falloff_distance,</span></div>
<div class="line"><a name="l01852"></a><span class="lineno"> 1852</span>&#160;<span class="comment">      then MorphPoint() deformation does not move the point.</span></div>
<div class="line"><a name="l01853"></a><span class="lineno"> 1853</span>&#160;<span class="comment">      As the distance varies from support_distance to </span></div>
<div class="line"><a name="l01854"></a><span class="lineno"> 1854</span>&#160;<span class="comment">      support_distance+falloff_distance the deformation attenuates</span></div>
<div class="line"><a name="l01855"></a><span class="lineno"> 1855</span>&#160;<span class="comment">      from 100% to 0%.</span></div>
<div class="line"><a name="l01856"></a><span class="lineno"> 1856</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01857"></a><span class="lineno"> 1857</span>&#160;  <span class="keywordtype">bool</span> AddControlLocalizer(</div>
<div class="line"><a name="l01858"></a><span class="lineno"> 1858</span>&#160;    <span class="keywordtype">double</span> support_distance, </div>
<div class="line"><a name="l01859"></a><span class="lineno"> 1859</span>&#160;    <span class="keywordtype">double</span> falloff_distance</div>
<div class="line"><a name="l01860"></a><span class="lineno"> 1860</span>&#160;    );</div>
<div class="line"><a name="l01861"></a><span class="lineno"> 1861</span>&#160; </div>
<div class="line"><a name="l01862"></a><span class="lineno"> 1862</span>&#160;  <span class="keywordtype">bool</span> AddSphereLocalizer(</div>
<div class="line"><a name="l01863"></a><span class="lineno"> 1863</span>&#160;    <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> center,</div>
<div class="line"><a name="l01864"></a><span class="lineno"> 1864</span>&#160;    <span class="keywordtype">double</span> support_distance, </div>
<div class="line"><a name="l01865"></a><span class="lineno"> 1865</span>&#160;    <span class="keywordtype">double</span> falloff_distance</div>
<div class="line"><a name="l01866"></a><span class="lineno"> 1866</span>&#160;    );</div>
<div class="line"><a name="l01867"></a><span class="lineno"> 1867</span>&#160; </div>
<div class="line"><a name="l01868"></a><span class="lineno"> 1868</span>&#160;  <span class="keywordtype">bool</span> AddCylinderLocalizer(</div>
<div class="line"><a name="l01869"></a><span class="lineno"> 1869</span>&#160;    <a class="code" href="class_o_n___line.html">ON_Line</a> axis,</div>
<div class="line"><a name="l01870"></a><span class="lineno"> 1870</span>&#160;    <span class="keywordtype">double</span> support_distance, </div>
<div class="line"><a name="l01871"></a><span class="lineno"> 1871</span>&#160;    <span class="keywordtype">double</span> falloff_distance</div>
<div class="line"><a name="l01872"></a><span class="lineno"> 1872</span>&#160;    );</div>
<div class="line"><a name="l01873"></a><span class="lineno"> 1873</span>&#160; </div>
<div class="line"><a name="l01874"></a><span class="lineno"> 1874</span>&#160;  <span class="keywordtype">bool</span> AddBoxLocalizer(</div>
<div class="line"><a name="l01875"></a><span class="lineno"> 1875</span>&#160;    <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a> bbox,</div>
<div class="line"><a name="l01876"></a><span class="lineno"> 1876</span>&#160;    <span class="keywordtype">double</span> support_distance, </div>
<div class="line"><a name="l01877"></a><span class="lineno"> 1877</span>&#160;    <span class="keywordtype">double</span> falloff_distance</div>
<div class="line"><a name="l01878"></a><span class="lineno"> 1878</span>&#160;    );</div>
<div class="line"><a name="l01879"></a><span class="lineno"> 1879</span>&#160; </div>
<div class="line"><a name="l01880"></a><span class="lineno"> 1880</span>&#160;  <span class="keywordtype">bool</span> AddPlaneLocalizer(</div>
<div class="line"><a name="l01881"></a><span class="lineno"> 1881</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>&amp; plane,</div>
<div class="line"><a name="l01882"></a><span class="lineno"> 1882</span>&#160;    <span class="keywordtype">double</span> support_distance, </div>
<div class="line"><a name="l01883"></a><span class="lineno"> 1883</span>&#160;    <span class="keywordtype">double</span> falloff_distance</div>
<div class="line"><a name="l01884"></a><span class="lineno"> 1884</span>&#160;    );</div>
<div class="line"><a name="l01885"></a><span class="lineno"> 1885</span>&#160; </div>
<div class="line"><a name="l01886"></a><span class="lineno"> 1886</span>&#160;  <span class="keywordtype">bool</span> AddConvexPolygonLocalizer(</div>
<div class="line"><a name="l01887"></a><span class="lineno"> 1887</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Plane&gt;</a>&amp; planes,</div>
<div class="line"><a name="l01888"></a><span class="lineno"> 1888</span>&#160;    <span class="keywordtype">double</span> support_distance, </div>
<div class="line"><a name="l01889"></a><span class="lineno"> 1889</span>&#160;    <span class="keywordtype">double</span> falloff_distance</div>
<div class="line"><a name="l01890"></a><span class="lineno"> 1890</span>&#160;    );</div>
<div class="line"><a name="l01891"></a><span class="lineno"> 1891</span>&#160; </div>
<div class="line"><a name="l01893"></a><span class="lineno"> 1893</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01894"></a><span class="lineno"> 1894</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01895"></a><span class="lineno"> 1895</span>&#160; </div>
<div class="line"><a name="l01896"></a><span class="lineno"> 1896</span>&#160;  <span class="comment">// Get a cage_morph that can be passed to Morph functions</span></div>
<div class="line"><a name="l01897"></a><span class="lineno"> 1897</span>&#160;  <span class="keywordtype">bool</span> GetCageMorph( <span class="keyword">class</span> <a class="code" href="class_o_n___cage_morph.html">ON_CageMorph</a>&amp; cage_morph ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01898"></a><span class="lineno"> 1898</span>&#160; </div>
<div class="line"><a name="l01899"></a><span class="lineno"> 1899</span>&#160;  <span class="keywordtype">bool</span> IsIdentity( <span class="keyword">const</span> <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01900"></a><span class="lineno"> 1900</span>&#160; </div>
<div class="line"><a name="l01901"></a><span class="lineno"> 1901</span>&#160;  <span class="keywordtype">int</span> m_varient; <span class="comment">// 1= curve, 2 = surface, 3 = cage</span></div>
<div class="line"><a name="l01902"></a><span class="lineno"> 1902</span>&#160; </div>
<div class="line"><a name="l01903"></a><span class="lineno"> 1903</span>&#160;  <span class="comment">// The value of m_varient determines which nurbs object</span></div>
<div class="line"><a name="l01904"></a><span class="lineno"> 1904</span>&#160;  <span class="comment">// controls the cage</span></div>
<div class="line"><a name="l01905"></a><span class="lineno"> 1905</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>   m_nurbs_curve0;</div>
<div class="line"><a name="l01906"></a><span class="lineno"> 1906</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>   m_nurbs_curve;</div>
<div class="line"><a name="l01907"></a><span class="lineno"> 1907</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a>     m_nurbs_curve_domain;</div>
<div class="line"><a name="l01908"></a><span class="lineno"> 1908</span>&#160; </div>
<div class="line"><a name="l01909"></a><span class="lineno"> 1909</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a> m_nurbs_surface0;</div>
<div class="line"><a name="l01910"></a><span class="lineno"> 1910</span>&#160;  <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a> m_nurbs_surface;</div>
<div class="line"><a name="l01911"></a><span class="lineno"> 1911</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a>     m_nurbs_surface_domain[2];</div>
<div class="line"><a name="l01912"></a><span class="lineno"> 1912</span>&#160; </div>
<div class="line"><a name="l01913"></a><span class="lineno"> 1913</span>&#160;  <a class="code" href="class_o_n___xform.html">ON_Xform</a>        m_nurbs_cage0;</div>
<div class="line"><a name="l01914"></a><span class="lineno"> 1914</span>&#160;  <a class="code" href="class_o_n___nurbs_cage.html">ON_NurbsCage</a>    m_nurbs_cage;</div>
<div class="line"><a name="l01915"></a><span class="lineno"> 1915</span>&#160; </div>
<div class="line"><a name="l01916"></a><span class="lineno"> 1916</span>&#160;  <span class="comment">// Rhino captive object ids</span></div>
<div class="line"><a name="l01917"></a><span class="lineno"> 1917</span>&#160;  <a class="code" href="class_o_n___uuid_list.html">ON_UuidList</a> m_captive_id;</div>
<div class="line"><a name="l01918"></a><span class="lineno"> 1918</span>&#160; </div>
<div class="line"><a name="l01919"></a><span class="lineno"> 1919</span>&#160;  <span class="comment">// Use ON_GetCageXform to set m_cage_xform.</span></div>
<div class="line"><a name="l01920"></a><span class="lineno"> 1920</span>&#160; </div>
<div class="line"><a name="l01921"></a><span class="lineno"> 1921</span>&#160;  <span class="comment">// Used to localize the deformation</span></div>
<div class="line"><a name="l01922"></a><span class="lineno"> 1922</span>&#160;  <a class="code" href="class_o_n___class_array.html">ON_ClassArray&lt;ON_Localizer&gt;</a> m_localizers;</div>
<div class="line"><a name="l01923"></a><span class="lineno"> 1923</span>&#160; </div>
<div class="line"><a name="l01924"></a><span class="lineno"> 1924</span>&#160;  <span class="comment">// ON_SpaceMorphOptions</span></div>
<div class="line"><a name="l01925"></a><span class="lineno"> 1925</span>&#160;  <span class="keywordtype">double</span> m_sporh_tolerance;</div>
<div class="line"><a name="l01926"></a><span class="lineno"> 1926</span>&#160;  <span class="keywordtype">bool</span>   m_sporh_bQuickPreview;</div>
<div class="line"><a name="l01927"></a><span class="lineno"> 1927</span>&#160;  <span class="keywordtype">bool</span>   m_sporh_bPreserveStructure;</div>
<div class="line"><a name="l01928"></a><span class="lineno"> 1928</span>&#160;};</div>
<div class="line"><a name="l01929"></a><span class="lineno"> 1929</span>&#160; </div>
<div class="line"><a name="l01930"></a><span class="lineno"> 1930</span>&#160; </div>
<div class="line"><a name="l01931"></a><span class="lineno"><a class="line" href="class_o_n___cage_morph.html"> 1931</a></span>&#160;<span class="keyword">class </span>PCL_EXPORTS ON_CLASS <a class="code" href="class_o_n___cage_morph.html">ON_CageMorph</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___space_morph.html">ON_SpaceMorph</a></div>
<div class="line"><a name="l01932"></a><span class="lineno"> 1932</span>&#160;{</div>
<div class="line"><a name="l01933"></a><span class="lineno"> 1933</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01934"></a><span class="lineno"> 1934</span>&#160;  <a class="code" href="class_o_n___cage_morph.html">ON_CageMorph</a>();</div>
<div class="line"><a name="l01935"></a><span class="lineno"> 1935</span>&#160;  ~<a class="code" href="class_o_n___cage_morph.html">ON_CageMorph</a>();</div>
<div class="line"><a name="l01936"></a><span class="lineno"> 1936</span>&#160; </div>
<div class="line"><a name="l01937"></a><span class="lineno"> 1937</span>&#160;  <span class="keywordtype">bool</span> IsIdentity( <span class="keyword">const</span> <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01938"></a><span class="lineno"> 1938</span>&#160; </div>
<div class="line"><a name="l01939"></a><span class="lineno"> 1939</span>&#160;  <span class="keyword">const</span> <a class="code" href="class_o_n___morph_control.html">ON_MorphControl</a>* m_control;</div>
<div class="line"><a name="l01940"></a><span class="lineno"> 1940</span>&#160;};</div>
<div class="line"><a name="l01941"></a><span class="lineno"> 1941</span>&#160; </div>
<div class="line"><a name="l01942"></a><span class="lineno"> 1942</span>&#160; </div>
<div class="line"><a name="l01943"></a><span class="lineno"> 1943</span>&#160;<span class="comment">// Description:</span></div>
<div class="line"><a name="l01944"></a><span class="lineno"> 1944</span>&#160;<span class="comment">//   Get an ON_NurbsSurface definition of a quadrilateral.</span></div>
<div class="line"><a name="l01945"></a><span class="lineno"> 1945</span>&#160;<span class="comment">// Parameters:</span></div>
<div class="line"><a name="l01946"></a><span class="lineno"> 1946</span>&#160;<span class="comment">//   P - [in]</span></div>
<div class="line"><a name="l01947"></a><span class="lineno"> 1947</span>&#160;<span class="comment">//   Q - [in]</span></div>
<div class="line"><a name="l01948"></a><span class="lineno"> 1948</span>&#160;<span class="comment">//   R - [in]</span></div>
<div class="line"><a name="l01949"></a><span class="lineno"> 1949</span>&#160;<span class="comment">//   S - [in] corners in counter clockwise layer</span></div>
<div class="line"><a name="l01950"></a><span class="lineno"> 1950</span>&#160;<span class="comment">//   nurbs_surface - [in] if this pointer is not NULL,</span></div>
<div class="line"><a name="l01951"></a><span class="lineno"> 1951</span>&#160;<span class="comment">//       then this ON_NurbsSurface is used to return</span></div>
<div class="line"><a name="l01952"></a><span class="lineno"> 1952</span>&#160;<span class="comment">//       the quadrilateral.</span></div>
<div class="line"><a name="l01953"></a><span class="lineno"> 1953</span>&#160;<span class="comment">// Returns:</span></div>
<div class="line"><a name="l01954"></a><span class="lineno"> 1954</span>&#160;<span class="comment">//   An ON_NurbsSurface representation of the quadrilateral.</span></div>
<div class="line"><a name="l01955"></a><span class="lineno"> 1955</span>&#160;ON_DECL</div>
<div class="line"><a name="l01956"></a><span class="lineno"> 1956</span>&#160;<a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* ON_NurbsSurfaceQuadrilateral( </div>
<div class="line"><a name="l01957"></a><span class="lineno"> 1957</span>&#160;             <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; P, </div>
<div class="line"><a name="l01958"></a><span class="lineno"> 1958</span>&#160;             <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; Q, </div>
<div class="line"><a name="l01959"></a><span class="lineno"> 1959</span>&#160;             <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; R, </div>
<div class="line"><a name="l01960"></a><span class="lineno"> 1960</span>&#160;             <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; S,</div>
<div class="line"><a name="l01961"></a><span class="lineno"> 1961</span>&#160;             <a class="code" href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* nurbs_surface = NULL</div>
<div class="line"><a name="l01962"></a><span class="lineno"> 1962</span>&#160;             );</div>
<div class="line"><a name="l01963"></a><span class="lineno"> 1963</span>&#160; </div>
<div class="line"><a name="l01964"></a><span class="lineno"> 1964</span>&#160;<span class="preprocessor">#if defined(ON_DLL_TEMPLATE)</span></div>
<div class="line"><a name="l01965"></a><span class="lineno"> 1965</span>&#160;<span class="comment">// This stuff is here because of a limitation in the way Microsoft</span></div>
<div class="line"><a name="l01966"></a><span class="lineno"> 1966</span>&#160;<span class="comment">// handles templates and DLLs.  See Microsoft&#39;s knowledge base </span></div>
<div class="line"><a name="l01967"></a><span class="lineno"> 1967</span>&#160;<span class="comment">// article ID Q168958 for details.</span></div>
<div class="line"><a name="l01968"></a><span class="lineno"> 1968</span>&#160;<span class="preprocessor">#pragma warning( push )</span></div>
<div class="line"><a name="l01969"></a><span class="lineno"> 1969</span>&#160;<span class="preprocessor">#pragma warning( disable : 4231 )</span></div>
<div class="line"><a name="l01970"></a><span class="lineno"> 1970</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___class_array.html">ON_ClassArray&lt;ON_NurbsCurve&gt;</a>;</div>
<div class="line"><a name="l01971"></a><span class="lineno"> 1971</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___object_array.html">ON_ObjectArray&lt;ON_NurbsCurve&gt;</a>;</div>
<div class="line"><a name="l01972"></a><span class="lineno"> 1972</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_NurbsCurve*&gt;</a>;</div>
<div class="line"><a name="l01973"></a><span class="lineno"> 1973</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___class_array.html">ON_ClassArray&lt;ON_NurbsSurface&gt;</a>;</div>
<div class="line"><a name="l01974"></a><span class="lineno"> 1974</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___object_array.html">ON_ObjectArray&lt;ON_NurbsSurface&gt;</a>;</div>
<div class="line"><a name="l01975"></a><span class="lineno"> 1975</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_NurbsSurface*&gt;</a>;</div>
<div class="line"><a name="l01976"></a><span class="lineno"> 1976</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___class_array.html">ON_ClassArray&lt;ON_NurbsCage&gt;</a>;</div>
<div class="line"><a name="l01977"></a><span class="lineno"> 1977</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___object_array.html">ON_ObjectArray&lt;ON_NurbsCage&gt;</a>;</div>
<div class="line"><a name="l01978"></a><span class="lineno"> 1978</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_NurbsCage*&gt;</a>;</div>
<div class="line"><a name="l01979"></a><span class="lineno"> 1979</span>&#160;<span class="preprocessor">#pragma warning( pop )</span></div>
<div class="line"><a name="l01980"></a><span class="lineno"> 1980</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01981"></a><span class="lineno"> 1981</span>&#160; </div>
<div class="line"><a name="l01982"></a><span class="lineno"> 1982</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclass_o_n__3d_point_html"><div class="ttname"><a href="class_o_n__3d_point.html">ON_3dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:419</div></div>
<div class="ttc" id="aclass_o_n__4d_point_html"><div class="ttname"><a href="class_o_n__4d_point.html">ON_4dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:573</div></div>
<div class="ttc" id="aclass_o_n___bezier_cage_html"><div class="ttname"><a href="class_o_n___bezier_cage.html">ON_BezierCage</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:1314</div></div>
<div class="ttc" id="aclass_o_n___bezier_surface_html"><div class="ttname"><a href="class_o_n___bezier_surface.html">ON_BezierSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:994</div></div>
<div class="ttc" id="aclass_o_n___binary_archive_html"><div class="ttname"><a href="class_o_n___binary_archive.html">ON_BinaryArchive</a></div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:732</div></div>
<div class="ttc" id="aclass_o_n___bounding_box_html"><div class="ttname"><a href="class_o_n___bounding_box.html">ON_BoundingBox</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bounding_box.h:26</div></div>
<div class="ttc" id="aclass_o_n___brep_html"><div class="ttname"><a href="class_o_n___brep.html">ON_Brep</a></div><div class="ttdef"><b>Definition:</b> opennurbs_brep.h:1571</div></div>
<div class="ttc" id="aclass_o_n___cage_morph_html"><div class="ttname"><a href="class_o_n___cage_morph.html">ON_CageMorph</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:1932</div></div>
<div class="ttc" id="aclass_o_n___class_array_html"><div class="ttname"><a href="class_o_n___class_array.html">ON_ClassArray&lt; ON_Localizer &gt;</a></div></div>
<div class="ttc" id="aclass_o_n___curve_html"><div class="ttname"><a href="class_o_n___curve.html">ON_Curve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:89</div></div>
<div class="ttc" id="aclass_o_n___geometry_html"><div class="ttname"><a href="class_o_n___geometry.html">ON_Geometry</a></div><div class="ttdef"><b>Definition:</b> opennurbs_geometry.h:37</div></div>
<div class="ttc" id="aclass_o_n___interval_html"><div class="ttname"><a href="class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:49</div></div>
<div class="ttc" id="aclass_o_n___line_html"><div class="ttname"><a href="class_o_n___line.html">ON_Line</a></div><div class="ttdef"><b>Definition:</b> opennurbs_line.h:21</div></div>
<div class="ttc" id="aclass_o_n___morph_control_html"><div class="ttname"><a href="class_o_n___morph_control.html">ON_MorphControl</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:1737</div></div>
<div class="ttc" id="aclass_o_n___nurbs_cage_html"><div class="ttname"><a href="class_o_n___nurbs_cage.html">ON_NurbsCage</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:1029</div></div>
<div class="ttc" id="aclass_o_n___nurbs_curve_html"><div class="ttname"><a href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbscurve.h:30</div></div>
<div class="ttc" id="aclass_o_n___nurbs_surface_html"><div class="ttname"><a href="class_o_n___nurbs_surface.html">ON_NurbsSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:65</div></div>
<div class="ttc" id="aclass_o_n___object_array_html"><div class="ttname"><a href="class_o_n___object_array.html">ON_ObjectArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_array.h:1121</div></div>
<div class="ttc" id="aclass_o_n___plane_html"><div class="ttname"><a href="class_o_n___plane.html">ON_Plane</a></div><div class="ttdef"><b>Definition:</b> opennurbs_plane.h:21</div></div>
<div class="ttc" id="aclass_o_n___simple_array_html"><div class="ttname"><a href="class_o_n___simple_array.html">ON_SimpleArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_array.h:47</div></div>
<div class="ttc" id="aclass_o_n___space_morph_html"><div class="ttname"><a href="class_o_n___space_morph.html">ON_SpaceMorph</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:1190</div></div>
<div class="ttc" id="aclass_o_n___surface_html"><div class="ttname"><a href="class_o_n___surface.html">ON_Surface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_surface.h:45</div></div>
<div class="ttc" id="aclass_o_n___tensor_product_html"><div class="ttname"><a href="class_o_n___tensor_product.html">ON_TensorProduct</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:29</div></div>
<div class="ttc" id="aclass_o_n___text_log_html"><div class="ttname"><a href="class_o_n___text_log.html">ON_TextLog</a></div><div class="ttdef"><b>Definition:</b> opennurbs_textlog.h:23</div></div>
<div class="ttc" id="aclass_o_n___uuid_list_html"><div class="ttname"><a href="class_o_n___uuid_list.html">ON_UuidList</a></div><div class="ttdef"><b>Definition:</b> opennurbs_array.h:1203</div></div>
<div class="ttc" id="aclass_o_n___xform_html"><div class="ttname"><a href="class_o_n___xform.html">ON_Xform</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:29</div></div>
<div class="ttc" id="astructtag_o_n__3dex_html"><div class="ttname"><a href="structtag_o_n__3dex.html">tagON_3dex</a></div><div class="ttdef"><b>Definition:</b> opennurbs_defines.h:326</div></div>
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